|
y^{''''}+4y^{'''}+4y^{''}-4y^'-5y=0
|
y′ ′ ′ ′ +4y′ ′ ′ +4y′ ′ −4y′ −5y=0
|
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x^{''}-6x^{''}+x=0
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x′ ′ −6x′ ′ +x=0
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y^{'''}+9y^'=0,y(0)=5,y^'(0)=4,y^{''}(0)=3
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y′ ′ ′ +9y′ =0,y(0)=5,y′ (0)=4,y′ ′ (0)=3
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y^{''}-2/5 y=0
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y′ ′ −25 y=0
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y^{''''}+2y^{'''}-4y^{''}-2y^'+1/2 y=0
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y′ ′ ′ ′ +2y′ ′ ′ −4y′ ′ −2y′ +12 y=0
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2.25y^{''}-3y^'+y=0,y(0)=2,y^'(0)=-1
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2.25y′ ′ −3y′ +y=0,y(0)=2,y′ (0)=−1
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12x^{''}+6x^'+18x=0
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12x′ ′ +6x′ +18x=0
|
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b*y=(a-v^2)y^{''}
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b· y=(a−v2)y′ ′
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y^{''}=9y^'-20y
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y′ ′ =9y′ −20y
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y^{''}-4y^{''}-5y=0
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y′ ′ −4y′ ′ −5y=0
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0.25x^{''}+sqrt(2)x^'+2x=0
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0.25x′ ′ +√2x′ +2x=0
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y^{''}-5y^'-14y=0,y(0)=α,y^'(0)=-14
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y′ ′ −5y′ −14y=0,y(0)=α,y′ (0)=−14
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(d^2x)/(dt^2)+12(dx)/(dt)+32x=0
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d2xdt2 +12dxdt +32x=0
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y^{'''}-16y=0
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y′ ′ ′ −16y=0
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y^{''}+a*y^'+b*y=0
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y′ ′ +a· y′ +b· y=0
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(3440.3669700000000…)y^{''}+(0)y^'+(22500)y=0
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(3440.3669700000000…)y′ ′ +(0)y′ +(22500)y=0
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y^{''}-3y^'+2y=0,y(0)=-6/5 ,y^'(0)=-3
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y′ ′ −3y′ +2y=0,y(0)=−65 ,y′ (0)=−3
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y^{''}+3y^'-54y=0
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y′ ′ +3y′ −54y=0
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5y^{''}+3y^'+6y=0,y(0)=-4,y^'(0)=0
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5y′ ′ +3y′ +6y=0,y(0)=−4,y′ (0)=0
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y^{''''}+4y^{''}+2y=0
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y′ ′ ′ ′ +4y′ ′ +2y=0
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y^{''}-9y=0,y(0)=36,y^'(0)=-36
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y′ ′ −9y=0,y(0)=36,y′ (0)=−36
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linear (d^2y)/(dx^2)-(dy)/(dx)+6y=0
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linear d2ydx2 −dydx +6y=0
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3y^{'''}+4y^{''}=0
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3y′ ′ ′ +4y′ ′ =0
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100y^{''}+40y^'-45y=0
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100y′ ′ +40y′ −45y=0
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2y^{''}+6y^'-(9y)/2 =0
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2y′ ′ +6y′ −9y2 =0
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2y^{''}+3y^'-3y=0
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2y′ ′ +3y′ −3y=0
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(d^2y)/(dx^2)+4y=0,y=0
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d2ydx2 +4y=0,y=0
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9y^{''}+4y^'=-5y
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9y′ ′ +4y′ =−5y
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|
y^{''}-3/2 y^'+y=0
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y′ ′ −32 y′ +y=0
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|
77y^{''''}+39y^{''}+4y=0
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77y′ ′ ′ ′ +39y′ ′ +4y=0
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|
(d^2y)/(dt^2)+2(dy)/(dt)+10y=0
|
d2ydt2 +2dydt +10y=0
|
|
3(d^2y)/(dx^2)+7(dy)/(dx)-11y=0
|
3d2ydx2 +7dydx −11y=0
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y^{''}-7y^'+12y=0,y(0)=0,y^'(1)=e^3
|
y′ ′ −7y′ +12y=0,y(0)=0,y′ (1)=e3
|
|
(2D^4-3D^3-2D^2)y=0
|
(2D4−3D3−2D2)y=0
|
|
1/2 y^{''}+3y^'+4y=0,y(0)=0,y^'(0)=-5/3
|
12 y′ ′ +3y′ +4y=0,y(0)=0,y′ (0)=−53
|
|
y^{''}-4y^'-5y=0,y(0)=4,y^'(0)=14
|
y′ ′ −4y′ −5y=0,y(0)=4,y′ (0)=14
|
|
y^{''}+y=0,y(0)=11,y^'(0)=33
|
y′ ′ +y=0,y(0)=11,y′ (0)=33
|
|
1/20 y^{''}+3y^'+80y=0
|
120 y′ ′ +3y′ +80y=0
|
|
y^{''}-6y^'+10y=0,y(0)=2,y^'(0)=3
|
y′ ′ −6y′ +10y=0,y(0)=2,y′ (0)=3
|
|
7x^{''}+3x^{''}+7x=0,x(0)=-4,x^'(0)=0
|
7x′ ′ +3x′ ′ +7x=0,x(0)=−4,x′ (0)=0
|
|
y^{'''}+y^{''}-56y^'=0
|
y′ ′ ′ +y′ ′ −56y′ =0
|
|
18y^{''}+(45-2sqrt(7))y^'-5sqrt(7)y=0
|
18y′ ′ +(45−2√7)y′ −5√7y=0
|
|
y^{''}-10y+24y=0
|
y′ ′ −10y+24y=0
|
|
y^{''''}-20y^{'''}+100y^{''}=0
|
y′ ′ ′ ′ −20y′ ′ ′ +100y′ ′ =0
|
|
81y^{''}-9y=0,y(0)=0,y^'(0)=0
|
81y′ ′ −9y=0,y(0)=0,y′ (0)=0
|
|
9y^{''}+4y^'-5y=0
|
9y′ ′ +4y′ −5y=0
|
|
y^{''}+(3-a)y^'-2(a-1)y=0
|
y′ ′ +(3−a)y′ −2(a−1)y=0
|
|
-cx^{''}=bx,x(0)=0
|
−cx′ ′ =bx,x(0)=0
|
|
y^{''}-2y^'+65y=0,y(0)=1,y^'(0)=4
|
y′ ′ −2y′ +65y=0,y(0)=1,y′ (0)=4
|
|
16y^{''}-40y^'+25y=0,y(4)=2,y^'(4)=6
|
16y′ ′ −40y′ +25y=0,y(4)=2,y′ (4)=6
|
|
y^{''}+2y^'+10y=0,y(pi/2)=0
|
y′ ′ +2y′ +10y=0,y(π2 )=0
|
|
y^{''}-2y^'+y=0,y(0)=4,y^'(0)=-4
|
y′ ′ −2y′ +y=0,y(0)=4,y′ (0)=−4
|
|
y^{''}+4y^'+4y=0,y(-1)=3,y^'(-2)=5
|
y′ ′ +4y′ +4y=0,y(−1)=3,y′ (−2)=5
|
|
y^{''}+8y^'+25y=0,y(0)=4,y^'(0)=-15
|
y′ ′ +8y′ +25y=0,y(0)=4,y′ (0)=−15
|
|
6(d^2y)/(dx^2)+2(dy)/(dx)-y=0
|
6d2ydx2 +2dydx −y=0
|
|
y^{''}-4y^'-a^2y=0
|
y′ ′ −4y′ −a2y=0
|
|
0.5y^{''}+2y^'+6y=0
|
0.5y′ ′ +2y′ +6y=0
|
|
y^{'''}-2y^{''}-15y^'=0
|
y′ ′ ′ −2y′ ′ −15y′ =0
|
|
y^{''}+y^'=0,y(0)=1,y^'(0)=0
|
y′ ′ +y′ =0,y(0)=1,y′ (0)=0
|
|
y^{''}-5y^'-24y=0,y(0)=7,y^'(0)=-3
|
y′ ′ −5y′ −24y=0,y(0)=7,y′ (0)=−3
|
|
81y^{''}+36y^'+40y=0,y(0)=6,y^'(0)=7
|
81y′ ′ +36y′ +40y=0,y(0)=6,y′ (0)=7
|
|
2y^{''}+5y^'=0,y(0)=0,y(2)=1
|
2y′ ′ +5y′ =0,y(0)=0,y(2)=1
|
|
y^{''}-2y^'-y=0,y(0)=2,y^'(0)=1
|
y′ ′ −2y′ −y=0,y(0)=2,y′ (0)=1
|
|
y^{''}+y^'=0,y(pi/3)=16,y^'(pi/3)=-32
|
y′ ′ +y′ =0,y(π3 )=16,y′ (π3 )=−32
|
|
(10d^3+d^2-7d+2)y=0
|
(10d3+d2−7d+2)y=0
|
|
linear y^{'''}+3y^{''}-8y^'-30y=0
|
linear y′ ′ ′ +3y′ ′ −8y′ −30y=0
|
|
y^{'''}-7y^{''}-8y^'+16y=0
|
y′ ′ ′ −7y′ ′ −8y′ +16y=0
|
|
y^{''}+y+y^'=0
|
y′ ′ +y+y′ =0
|
|
y^{''}-12y^'+36y=0,y(0)=3,y^'(0)= 39/2
|
y′ ′ −12y′ +36y=0,y(0)=3,y′ (0)=392
|
|
y^{''}+18y^'+80y=0,y(0)=9,y^'(0)=-76
|
y′ ′ +18y′ +80y=0,y(0)=9,y′ (0)=−76
|
|
(D^3-3D)y=0
|
(D3−3D)y=0
|
|
(d-5d^2+4d-20)x=0
|
(d−5d2+4d−20)x=0
|
|
25x^{''}+50x^'+169x=0
|
25x′ ′ +50x′ +169x=0
|
|
45y^{''}+180y=0
|
45y′ ′ +180y=0
|
|
1/8 x^{''}+25x=0
|
18 x′ ′ +25x=0
|
|
10y^{''}+90y^'+140y=0,y(0)=0,y^'(0)=1
|
10y′ ′ +90y′ +140y=0,y(0)=0,y′ (0)=1
|
|
y^{''}-8y^'+3y=0
|
y′ ′ −8y′ +3y=0
|
|
(d^2x)/(dt^2)+6(dx)/(dt)+9x=0
|
d2xdt2 +6dxdt +9x=0
|
|
y^{'''}+y^'=0,y^'(0)=1,y^{''}(0)=2
|
y′ ′ ′ +y′ =0,y′ (0)=1,y′ ′ (0)=2
|
|
y^{''''}+y^{''}+9y=0
|
y′ ′ ′ ′ +y′ ′ +9y=0
|
|
y^{''}-7y^'+10y=0,y(0)=1,y^'(0)=-1
|
y′ ′ −7y′ +10y=0,y(0)=1,y′ (0)=−1
|
|
4x^{''}+2x=0
|
4x′ ′ +2x=0
|
|
y^{''}-10y^'-98y=0
|
y′ ′ −10y′ −98y=0
|
|
y^{''}-4y^'+y5=0
|
y′ ′ −4y′ +y5=0
|
|
y^{''}-9y^'+7y=0
|
y′ ′ −9y′ +7y=0
|
|
3y^{'''}+5y^{''}=0
|
3y′ ′ ′ +5y′ ′ =0
|
|
5y^{''}+5y^'+10y=0
|
5y′ ′ +5y′ +10y=0
|
|
y^{''}+2y^'-8y=0,y(0)=-2,y^'(0)=1
|
y′ ′ +2y′ −8y=0,y(0)=−2,y′ (0)=1
|
|
y^{''}+0y^'+16y=0
|
y′ ′ +0y′ +16y=0
|
|
y^{''}+4y^'+29y=0,y(0)=3,y^'(0)=-5
|
y′ ′ +4y′ +29y=0,y(0)=3,y′ (0)=−5
|
|
y^{'''}-2y^{''}-63y^'=0
|
y′ ′ ′ −2y′ ′ −63y′ =0
|
|
3/4 x^{''}+72x=0,x(0)=-1/4 ,x^'(0)=0
|
34 x′ ′ +72x=0,x(0)=−14 ,x′ (0)=0
|
|
1/16 x^{''}+x^'+4x=0
|
116 x′ ′ +x′ +4x=0
|
|
y^{''}-4y^'-5y=0,y(1)=0,y(1)=2
|
y′ ′ −4y′ −5y=0,y(1)=0,y(1)=2
|
|
(d^3+d^2-9d-9)y=0
|
(d3+d2−9d−9)y=0
|
|
linear x^{''}+9x=0
|
linear x′ ′ +9x=0
|
|
solvefor x,(d^2x)/(dy^2)=a^2x
|
solvefor x,d2xdy2 =a2x
|
|
(d^3y)/(dx^3)-2y^{''}+1y=0
|
d3ydx3 −2y′ ′ +1y=0
|
|
1/16 y^{''}+4y=0
|
116 y′ ′ +4y=0
|
|
y^{''''}+3y^{'''}-y^{''}-3y^'+1/2 y=0
|
y′ ′ ′ ′ +3y′ ′ ′ −y′ ′ −3y′ +12 y=0
|
