|
y^{''}-7y^{''}+19y^'-13y=0
|
y′ ′ −7y′ ′ +19y′ −13y=0
|
|
(d^2y)/(dx^2)+2a(dy)/(dx)+(b^2)y=0
|
d2ydx2 +2adydx +(b2)y=0
|
|
y^{''}-2y^'+y=0,y(0)=8,y^'(0)=3
|
y′ ′ −2y′ +y=0,y(0)=8,y′ (0)=3
|
|
(d^2y)/(dx^2)-10(dy)/(dx)+5^2y=0
|
d2ydx2 −10dydx +52y=0
|
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linear 12(d^2y)/(dx^2)-5(dy)/(dx)-3y=0
|
linear 12d2ydx2 −5dydx −3y=0
|
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(d^2y)/(dx^2)(1)-(dy)/(dx)(10)=0
|
d2ydx2 (1)−dydx (10)=0
|
|
y^{'''}-15y^{''}+72y^'-108y=0
|
y′ ′ ′ −15y′ ′ +72y′ −108y=0
|
|
y^{'''}+(-7)y^{''}+8y^'+16y=0
|
y′ ′ ′ +(−7)y′ ′ +8y′ +16y=0
|
|
y^{''}+2y^'+y=0,y(1)=-xe^x
|
y′ ′ +2y′ +y=0,y(1)=−xex
|
|
y^{''}+a^2b^2y=0
|
y′ ′ +a2b2y=0
|
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y^{''}+4y^'-5y=0,y^'(ln(2))=3,y(0)=33
|
y′ ′ +4y′ −5y=0,y′ (ln(2))=3,y(0)=33
|
|
(d^2x)/(dt^2)-49x=0,x=2
|
d2xdt2 −49x=0,x=2
|
|
y^{''}-2y^'+y=(x2-2x)e^-x
|
y′ ′ −2y′ +y=(x2−2x)e−x
|
|
-3y^{''}+27y=0,y^'(-2)=-2,y(2)=-2
|
−3y′ ′ +27y=0,y′ (−2)=−2,y(2)=−2
|
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y^{''}+5y^'=0,y(0)=-11,y^'(0)=35
|
y′ ′ +5y′ =0,y(0)=−11,y′ (0)=35
|
|
12y^{''}-11y^'+2y=0,y(0)=7,y^'(0)=-3
|
12y′ ′ −11y′ +2y=0,y(0)=7,y′ (0)=−3
|
|
y^{''''}-4y^{'''}+9y^{''}-36y^'=0
|
y′ ′ ′ ′ −4y′ ′ ′ +9y′ ′ −36y′ =0
|
|
y^{''}-2y^'+2y=0,y(0)=1,y^'(0)=-1
|
y′ ′ −2y′ +2y=0,y(0)=1,y′ (0)=−1
|
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4y^{''}-y=0,y(-9)=1,y^'(-9)=-1
|
4y′ ′ −y=0,y(−9)=1,y′ (−9)=−1
|
|
1/16 y^{''}+y^'+2y=0
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116 y′ ′ +y′ +2y=0
|
|
y^{''}+y^'+1/3 y=0
|
y′ ′ +y′ +13 y=0
|
|
4y^{''}+12y^'+9y=0,y(0)=2,y^'(0)=-1
|
4y′ ′ +12y′ +9y=0,y(0)=2,y′ (0)=−1
|
|
x^{''}+3x^'-3x=0
|
x′ ′ +3x′ −3x=0
|
|
y^{''}+8y^'+160y=0
|
y′ ′ +8y′ +160y=0
|
|
0.1y^{''}+y^'+y=0,y(0)=1,y(1)=0
|
0.1y′ ′ +y′ +y=0,y(0)=1,y(1)=0
|
|
y^{''}+0.2y^'+0.01y=0
|
y′ ′ +0.2y′ +0.01y=0
|
|
y^{''}+9y^'-20y=0,y(0)=1,y^'(0)=2
|
y′ ′ +9y′ −20y=0,y(0)=1,y′ (0)=2
|
|
y^{''''}+5y^{'''}=0
|
y′ ′ ′ ′ +5y′ ′ ′ =0
|
|
4y^{''}-68y^'+289y=0
|
4y′ ′ −68y′ +289y=0
|
|
y^{''}+9y+y=0,y(0)=0.16,y^'(0)=0
|
y′ ′ +9y+y=0,y(0)=0.16,y′ (0)=0
|
|
y^{''}-7y^'-2y=0
|
y′ ′ −7y′ −2y=0
|
|
2y^{''}+14y^'+8y=0,y(0)=5,y^'(0)=0
|
2y′ ′ +14y′ +8y=0,y(0)=5,y′ (0)=0
|
|
4y^{''}+7y^'+3y=0
|
4y′ ′ +7y′ +3y=0
|
|
y^{''}+8y^'+16y=0,y(-1)=5,y^'(-1)=2
|
y′ ′ +8y′ +16y=0,y(−1)=5,y′ (−1)=2
|
|
cy^{''}+aby^'=0,y(0)=1,y(1.2)=0
|
cy′ ′ +aby′ =0,y(0)=1,y(1.2)=0
|
|
y^{''}+4y^'=0,y(0)=0,y^'(0)=1
|
y′ ′ +4y′ =0,y(0)=0,y′ (0)=1
|
|
y^{''}+2y^'+65y=0,y(0)=-1,y^'(0)=33
|
y′ ′ +2y′ +65y=0,y(0)=−1,y′ (0)=33
|
|
y^{''}-4y^'+13y=0,y(0)=-5
|
y′ ′ −4y′ +13y=0,y(0)=−5
|
|
y^{''}+5y^'+4y=0,y(0)=1,y(0)=0
|
y′ ′ +5y′ +4y=0,y(0)=1,y(0)=0
|
|
y^{''}-y^'-2y=0,y(0)=8
|
y′ ′ −y′ −2y=0,y(0)=8
|
|
y^{''}+5y^'+4y=0,y^0=1
|
y′ ′ +5y′ +4y=0,y0=1
|
|
y^{''}-y^'-2y=0,y(0)=5
|
y′ ′ −y′ −2y=0,y(0)=5
|
|
36y^{''}-36y^'+13y=0
|
36y′ ′ −36y′ +13y=0
|
|
y^{''}-2y^'-y^'+2y=0
|
y′ ′ −2y′ −y′ +2y=0
|
|
y^{''}+24y^'-10y=0
|
y′ ′ +24y′ −10y=0
|
|
81y^{''}-64y=0
|
81y′ ′ −64y=0
|
|
9y^{''}-12y^'+4y=0,y(0)=2,y^'(0)=-2
|
9y′ ′ −12y′ +4y=0,y(0)=2,y′ (0)=−2
|
|
y^{'''}-3y^{''}-46y^'-72y=0
|
y′ ′ ′ −3y′ ′ −46y′ −72y=0
|
|
y^{'''}-y^{''}-100y=0
|
y′ ′ ′ −y′ ′ −100y=0
|
|
25y^{''}+50y^'+169y=0,y(0)=4,y^'(0)=8
|
25y′ ′ +50y′ +169y=0,y(0)=4,y′ (0)=8
|
|
64y^{''}+80y^'+16y=0,y(0)=0,y^'(0)=1
|
64y′ ′ +80y′ +16y=0,y(0)=0,y′ (0)=1
|
|
y^{''}+4y^'+13y=0,y(0)=2,y^'(0)=5
|
y′ ′ +4y′ +13y=0,y(0)=2,y′ (0)=5
|
|
y^{''}+0/3 y^'+12/3 y=0
|
y′ ′ +03 y′ +123 y=0
|
|
3y^{'''}-2y^{''}-37y^'-12y=0
|
3y′ ′ ′ −2y′ ′ −37y′ −12y=0
|
|
-y^{''}+4y^'+5y=0
|
−y′ ′ +4y′ +5y=0
|
|
4y^{''}-12y^'+9y=0,y(0)=1
|
4y′ ′ −12y′ +9y=0,y(0)=1
|
|
(d^3+9d^2+27d+27)y=0
|
(d3+9d2+27d+27)y=0
|
|
(D^2-D-2)y=0
|
(D2−D−2)y=0
|
|
y^{''}+5y^'-36y=0,y(0)=α,y^'(0)=-72
|
y′ ′ +5y′ −36y=0,y(0)=α,y′ (0)=−72
|
|
y^{''}-3y^'-4y=0,y(0)=1,y^'(0)=29
|
y′ ′ −3y′ −4y=0,y(0)=1,y′ (0)=29
|
|
y^{''}+((9.8)/(0.06))y=0
|
y′ ′ +(9.80.06 )y=0
|
|
16y-8y^'=y^{''}
|
16y−8y′ =y′ ′
|
|
y^{''}+6y^'+9y=0,y(0)=5,y^'(0)=9
|
y′ ′ +6y′ +9y=0,y(0)=5,y′ (0)=9
|
|
6y^{''}-7y^'+y=0
|
6y′ ′ −7y′ +y=0
|
|
y^{'''}-17y^{''}+40y^'+300y=0
|
y′ ′ ′ −17y′ ′ +40y′ +300y=0
|
|
y^{''}+4y^'=0,y(0)=1,y^'(0)=-1
|
y′ ′ +4y′ =0,y(0)=1,y′ (0)=−1
|
|
24/32 y^{''}+72y=0
|
2432 y′ ′ +72y=0
|
|
y^{''}+2y^'+y=0,y^1=xe^{-x}
|
y′ ′ +2y′ +y=0,y1=xe−x
|
|
6y^{''''}+5y^{'''}+25y^{''}+20y^'+4y=0
|
6y′ ′ ′ ′ +5y′ ′ ′ +25y′ ′ +20y′ +4y=0
|
|
4(d^2y)/(dx^2)-12(dy)/(dx)+5y=0
|
4d2ydx2 −12dydx +5y=0
|
|
4y^{''}+y^'+1/16 y=0
|
4y′ ′ +y′ +116 y=0
|
|
y^{''}+6y^'+25y=0,y(0)= 1/2 ,y^'(0)=0
|
y′ ′ +6y′ +25y=0,y(0)=12 ,y′ (0)=0
|
|
(d^2y)/(dx^2)-9(dy)/(dx)+18y=0
|
d2ydx2 −9dydx +18y=0
|
|
y^{''}+5y^'+4y=0,y^'(0)=1,y(0)=1
|
y′ ′ +5y′ +4y=0,y′ (0)=1,y(0)=1
|
|
y^{''}+1000y^'+250000y=0
|
y′ ′ +1000y′ +250000y=0
|
|
y^{''}+9y=0,y(0)=5,y^'(0)=-7
|
y′ ′ +9y=0,y(0)=5,y′ (0)=−7
|
|
2y-y^{''}=0
|
2y−y′ ′ =0
|
|
2y=3y^{''}
|
2y=3y′ ′
|
|
y^{''}+6y^'+9y=0,y(0)=1,y^'(0)=1
|
y′ ′ +6y′ +9y=0,y(0)=1,y′ (0)=1
|
|
y^{''}-k^2y=0,y(0)=0,y^'(0)=1
|
y′ ′ −k2y=0,y(0)=0,y′ (0)=1
|
|
x^{'''}+5x^{''}-25x^'-125x=0
|
x′ ′ ′ +5x′ ′ −25x′ −125x=0
|
|
y^{''}-12y^'+35y=0,y(0)=e^{kx}
|
y′ ′ −12y′ +35y=0,y(0)=ekx
|
|
(d^3y)/(dx^3)+5y=0
|
d3ydx3 +5y=0
|
|
y^{''}+5y^'-14y=0,y^'(0)=56
|
y′ ′ +5y′ −14y=0,y′ (0)=56
|
|
y^{''}-2y^'+5y=0,y^'(0)=2,y(0)=1
|
y′ ′ −2y′ +5y=0,y′ (0)=2,y(0)=1
|
|
y^{''}+64y=0,y(0)=0,y^'(0)= 64/5
|
y′ ′ +64y=0,y(0)=0,y′ (0)=645
|
|
y^{''''}+4y^{'''}+4y^{''}=0
|
y′ ′ ′ ′ +4y′ ′ ′ +4y′ ′ =0
|
|
4y^{''}+4y^'+325y=0,y(0)=3,y^'(0)=2
|
4y′ ′ +4y′ +325y=0,y(0)=3,y′ (0)=2
|
|
y^{''}+2y^'+2y=0,y(0)=-2,y^'(0)=0
|
y′ ′ +2y′ +2y=0,y(0)=−2,y′ (0)=0
|
|
(d^2y)/(dx^2)-25*y=0
|
d2ydx2 −25· y=0
|
|
linear x^{''}=-x^'+3x
|
linear x′ ′ =−x′ +3x
|
|
y^{'''}-7y^{''}+14y^'-8y=0
|
y′ ′ ′ −7y′ ′ +14y′ −8y=0
|
|
y^{''}+2y^'+y=-y^{''}+5y+2y^'-y
|
y′ ′ +2y′ +y=−y′ ′ +5y+2y′ −y
|
|
y^{''}-6y^'+32y=0
|
y′ ′ −6y′ +32y=0
|
|
y^{''}+2y^'-15y=0,y(0)=6,y^'(0)=-6
|
y′ ′ +2y′ −15y=0,y(0)=6,y′ (0)=−6
|
|
y^{''}-12y^'+45y=0,y(0)=5,y^'(0)=-3
|
y′ ′ −12y′ +45y=0,y(0)=5,y′ (0)=−3
|
|
10y^{''}+45y^'+2500y=0
|
10y′ ′ +45y′ +2500y=0
|
|
y^{''}+4y^'+4y=0,y(-1)=3,y^'(-1)=6
|
y′ ′ +4y′ +4y=0,y(−1)=3,y′ (−1)=6
|
|
y^{''}+4y^'+4y=0,y(-1)=3,y^'(-1)=5
|
y′ ′ +4y′ +4y=0,y(−1)=3,y′ (−1)=5
|
|
y^{''}+y^'+11y=0,y^'(0)=1,y(0)=4
|
y′ ′ +y′ +11y=0,y′ (0)=1,y(0)=4
|
