|
y^{'''}+y^'=0,y(0)=1,y^'(0)=1,y^{''}(0)=2
|
y′ ′ ′ +y′ =0,y(0)=1,y′ (0)=1,y′ ′ (0)=2
|
|
(D^3-6D^2+11D-6)y=0
|
(D3−6D2+11D−6)y=0
|
|
20y^{''}+240y^'+800y=0
|
20y′ ′ +240y′ +800y=0
|
|
ay^{''}+by^'-cy=0
|
ay′ ′ +by′ −cy=0
|
|
y^{''}-4y^'+5y=0,y(pi/2)=3,y(0)=5
|
y′ ′ −4y′ +5y=0,y(π2 )=3,y(0)=5
|
|
y^{''}+1y=0,y(pi/2)=2,y^'(pi/2)=3
|
y′ ′ +1y=0,y(π2 )=2,y′ (π2 )=3
|
|
y^{''}-7y^'+12y=0,y(0)=1,y^'(0)= 5/2
|
y′ ′ −7y′ +12y=0,y(0)=1,y′ (0)=52
|
|
y^{''}-6y^'+9y=0,y(0)=15,y(1)=0
|
y′ ′ −6y′ +9y=0,y(0)=15,y(1)=0
|
|
y^{''}-3y^'-4y=0,y(0)=2,y^'(0)=28
|
y′ ′ −3y′ −4y=0,y(0)=2,y′ (0)=28
|
|
y^{''}-22y^'+112y=0
|
y′ ′ −22y′ +112y=0
|
|
y^{''}+12y^'+12y=0
|
y′ ′ +12y′ +12y=0
|
|
0.5y^{''}+0.5y^'+y=0
|
0.5y′ ′ +0.5y′ +y=0
|
|
y^{''}-10y^'-144y=0,y(0)=11,y^'(0)=94
|
y′ ′ −10y′ −144y=0,y(0)=11,y′ (0)=94
|
|
y^{''}-6y^'+13y=0,y(pi/4)=1,y(0)=9
|
y′ ′ −6y′ +13y=0,y(π4 )=1,y(0)=9
|
|
y^{''''}+3y^{'''}+2y^{''}+6y^'=0
|
y′ ′ ′ ′ +3y′ ′ ′ +2y′ ′ +6y′ =0
|
|
1y^{''}+8y^'+16y=0,y(0)=3,y^'(0)=-7
|
1y′ ′ +8y′ +16y=0,y(0)=3,y′ (0)=−7
|
|
(d^3-d^2-12d)y=0
|
(d3−d2−12d)y=0
|
|
x^{''}+4x^'+4x=0,x(0)=0,x^'(0)=2
|
x′ ′ +4x′ +4x=0,x(0)=0,x′ (0)=2
|
|
15y^{''''}+83y^{''}+16y=0
|
15y′ ′ ′ ′ +83y′ ′ +16y=0
|
|
y^{''}+64y=0,y(0)=4,y^'(0)=3
|
y′ ′ +64y=0,y(0)=4,y′ (0)=3
|
|
12y^{''}-5y^'-3y=0,y(0)=2
|
12y′ ′ −5y′ −3y=0,y(0)=2
|
|
y^{''}+64y=0,y(0)=4,y^'(0)=7
|
y′ ′ +64y=0,y(0)=4,y′ (0)=7
|
|
y^'+4y^{''}=0
|
y′ +4y′ ′ =0
|
|
y^{''''}+2y^{'''}+4y^{''}+8y^'=0
|
y′ ′ ′ ′ +2y′ ′ ′ +4y′ ′ +8y′ =0
|
|
2(d^2y)/(dx^2)+8(dy)/(dx)-y=0
|
2d2ydx2 +8dydx −y=0
|
|
y^{''}+10y^'+8/3 y=0
|
y′ ′ +10y′ +83 y=0
|
|
y^{''}-2y^'+2y=0,y(pi/2)=0,y(pi)=-1
|
y′ ′ −2y′ +2y=0,y(π2 )=0,y(π)=−1
|
|
15y^{''}-4y^'-3y=0
|
15y′ ′ −4y′ −3y=0
|
|
2y^{''}+3y^'+3y=0
|
2y′ ′ +3y′ +3y=0
|
|
y^{'''}-8y^{''}+16y^'=0
|
y′ ′ ′ −8y′ ′ +16y′ =0
|
|
y^{''}+5y^'-6y=0,y(0)=-5,y^'(0)=37
|
y′ ′ +5y′ −6y=0,y(0)=−5,y′ (0)=37
|
|
y^{''}+2y^'=-4y
|
y′ ′ +2y′ =−4y
|
|
y^{''}=y^'+y
|
y′ ′ =y′ +y
|
|
y^{''}+4y=0,y(0)=3,y^'(0)=-2
|
y′ ′ +4y=0,y(0)=3,y′ (0)=−2
|
|
y^{''}-9y^'+20y=0,y(0)=1,y^'(0)=2
|
y′ ′ −9y′ +20y=0,y(0)=1,y′ (0)=2
|
|
u^{''}+2u^'+2\H(t)=0
|
u′ ′ +2u′ +2H(t)=0
|
|
55x^{''}+220x=0,x(0)=0,x^'(0)=-6
|
55x′ ′ +220x=0,x(0)=0,x′ (0)=−6
|
|
y^{'''}+3.1y^{''}+3.1y^'+y=0
|
y′ ′ ′ +3.1y′ ′ +3.1y′ +y=0
|
|
y^{''}+6y^'+8y=0,y(0)= 2/5 ,y^'(0)= 2/5
|
y′ ′ +6y′ +8y=0,y(0)=25 ,y′ (0)=25
|
|
y^{''}+20y^'+36y=0,y^'(0)=0,y(0)=5
|
y′ ′ +20y′ +36y=0,y′ (0)=0,y(0)=5
|
|
-2y^{''}+8y^'=0,y(-1)=2,y^'(2)=2
|
−2y′ ′ +8y′ =0,y(−1)=2,y′ (2)=2
|
|
y^{''}+7y^'+12y=0,y(0)=1,y^'(0)=9
|
y′ ′ +7y′ +12y=0,y(0)=1,y′ (0)=9
|
|
y^{''}=-y^'-y
|
y′ ′ =−y′ −y
|
|
y^{''}-3y^'-4y=0,y(0)=0,y^'(0)=1
|
y′ ′ −3y′ −4y=0,y(0)=0,y′ (0)=1
|
|
y^{''}+y^'=0,y(pi/4)=0,y^'(pi/4)=-3
|
y′ ′ +y′ =0,y(π4 )=0,y′ (π4 )=−3
|
|
y^{''}+(v/a)y^'=0
|
y′ ′ +(va )y′ =0
|
|
(d^4y)/(dx^4)-2((d^2y)/(dx^2))+y=0
|
d4ydx4 −2(d2ydx2 )+y=0
|
|
y^{''}-16y=0,y(0)=0,y^'(0)=1
|
y′ ′ −16y=0,y(0)=0,y′ (0)=1
|
|
y^{''}-7y^'=0,y(0)=2-2e^7,y(1)=0
|
y′ ′ −7y′ =0,y(0)=2−2e7,y(1)=0
|
|
(d^2y)/(dx^2)+15(dy)/(dx)+56y=0
|
d2ydx2 +15dydx +56y=0
|
|
y^{''}+4y^'+ky=0
|
y′ ′ +4y′ +ky=0
|
|
y^{''}+4y=0,y(0)=6,y^'(0)=-6
|
y′ ′ +4y=0,y(0)=6,y′ (0)=−6
|
|
y^{''}+7y^'+20y=0
|
y′ ′ +7y′ +20y=0
|
|
2y^{''}+14y^'+12y=0,y(0)=1,y^'(0)=0
|
2y′ ′ +14y′ +12y=0,y(0)=1,y′ (0)=0
|
|
y^{''}+4y^'-8y=0
|
y′ ′ +4y′ −8y=0
|
|
y^{''}+5y^'=0,y(0)=9,y^'(0)=-20
|
y′ ′ +5y′ =0,y(0)=9,y′ (0)=−20
|
|
(d^2x)/(dt^2)+6*(dx)/(dt)+3*x=0,x(0)=0
|
d2xdt2 +6· dxdt +3· x=0,x(0)=0
|
|
4((d^2y)/(dx^2))+4((dy)/(dx))+y=0
|
4(d2ydx2 )+4(dydx )+y=0
|
|
2500y^{''}+81y=0
|
2500y′ ′ +81y=0
|
|
y^{''}+5y^'-24y=0,y(0)=x,y^'(0)=56
|
y′ ′ +5y′ −24y=0,y(0)=x,y′ (0)=56
|
|
y^{''}-9y=0,y(0)=1,y^'(0)=-1
|
y′ ′ −9y=0,y(0)=1,y′ (0)=−1
|
|
(d^2y)/(dt^2)+4y=0
|
d2ydt2 +4y=0
|
|
linear (d^2y)/(dx^2)+(dy)/(dx)-6y=0
|
linear d2ydx2 +dydx −6y=0
|
|
-2y^{''}+5y^'+10y=0
|
−2y′ ′ +5y′ +10y=0
|
|
y^{''}+2y^'-8y=0,y(0)=2,y^'(0)=16
|
y′ ′ +2y′ −8y=0,y(0)=2,y′ (0)=16
|
|
100y^{''}+180y^'+145y=0
|
100y′ ′ +180y′ +145y=0
|
|
y^{''}+4y=0,y(0)=5,y^'(0)=-3
|
y′ ′ +4y=0,y(0)=5,y′ (0)=−3
|
|
(D^2+64)^2y=0
|
(D2+64)2y=0
|
|
4*(d^2y)/(dx^2)+12*(dy)/(dx)+9y=0
|
4· d2ydx2 +12· dydx +9y=0
|
|
y^{''}-5y^'+6y=0,y(0)= 2/3
|
y′ ′ −5y′ +6y=0,y(0)=23
|
|
0.2q^{''}+4q^'+100q=0
|
0.2q′ ′ +4q′ +100q=0
|
|
y^{''}-20y^'+100y=0,y(0)=4,y(1)=3
|
y′ ′ −20y′ +100y=0,y(0)=4,y(1)=3
|
|
(d^2y)/(dx^2)-6(dy)/(dx)+10y=0
|
d2ydx2 −6dydx +10y=0
|
|
y^{''}+8y^'-2y=0
|
y′ ′ +8y′ −2y=0
|
|
y^{''}+4y=0,y(0)=y^'(0)
|
y′ ′ +4y=0,y(0)=y′ (0)
|
|
(d^2y)/(dx^2)-6(dy)/(dx)+3y=0
|
d2ydx2 −6dydx +3y=0
|
|
(d^4y)/(dx^4)+6(d^2y)/(dx^2)+8y=0
|
d4ydx4 +6d2ydx2 +8y=0
|
|
y^{''}+9y^'-20y=0
|
y′ ′ +9y′ −20y=0
|
|
y^{''}-20y^'+64y=0
|
y′ ′ −20y′ +64y=0
|
|
f^{''}(t)-cf(t)=0
|
f′ ′ (t)−cf(t)=0
|
|
y^{'''}+8y^{''}+25y^'=0
|
y′ ′ ′ +8y′ ′ +25y′ =0
|
|
4y^{''}-2y^'-2y=0,y(0)=3,y^'(0)=1
|
4y′ ′ −2y′ −2y=0,y(0)=3,y′ (0)=1
|
|
x^{'''}-10x^{''}+37x^'-52x=0
|
x′ ′ ′ −10x′ ′ +37x′ −52x=0
|
|
x^{''}+6x^'+8x=0,x(0)=7
|
x′ ′ +6x′ +8x=0,x(0)=7
|
|
y^{''}+8y^'+32y=0,y^'0=-4,y^0=1
|
y′ ′ +8y′ +32y=0,y′ 0=−4,y0=1
|
|
4y^{''}+3y^{''}+y=0
|
4y′ ′ +3y′ ′ +y=0
|
|
2y^'+3y^{''}=0
|
2y′ +3y′ ′ =0
|
|
4y^{''}-4y^'+(-3)y=0,y(0)=5,y^'(0)=0
|
4y′ ′ −4y′ +(−3)y=0,y(0)=5,y′ (0)=0
|
|
y^{''}+0.25y=0
|
y′ ′ +0.25y=0
|
|
y^{''}-2y^'+2y=0,y(0)=2,y^'(0)=0
|
y′ ′ −2y′ +2y=0,y(0)=2,y′ (0)=0
|
|
x^{''}-9x^'-14x=0
|
x′ ′ −9x′ −14x=0
|
|
(d^2y)/(dt^2)+(dy)/(dt)=0
|
d2ydt2 +dydt =0
|
|
y^{''}+10y^'+25y=0,y(-1)=2,y^'(-1)=3
|
y′ ′ +10y′ +25y=0,y(−1)=2,y′ (−1)=3
|
|
linear 2y^{''}+16y^'+82y=0
|
linear 2y′ ′ +16y′ +82y=0
|
|
y^{''''}-y^{'''}+y^{''}=0
|
y′ ′ ′ ′ −y′ ′ ′ +y′ ′ =0
|
|
121y^{''}+198y^'+80y=0
|
121y′ ′ +198y′ +80y=0
|
|
2y^{'''}+7y^{''}+4y^'-4y=0
|
2y′ ′ ′ +7y′ ′ +4y′ −4y=0
|
|
y^{''}+25y^'+2500y=0
|
y′ ′ +25y′ +2500y=0
|
|
3y^{''}-2y+4y^'=0
|
3y′ ′ −2y+4y′ =0
|
|
y^'x+(y^{''})/2 x=0
|
y′ x+y′ ′ 2 x=0
|
