|
64y^{''}-144y^'+81y=0
|
64y′ ′ −144y′ +81y=0
|
|
y^{''}-4y^'+4y=0,(1)y=e^{2x}
|
y′ ′ −4y′ +4y=0,(1)y=e2x
|
|
y^{''}+5y^'-50y=0
|
y′ ′ +5y′ −50y=0
|
|
y^{''}-440y=0
|
y′ ′ −440y=0
|
|
y^{''}-4y^'-5y=0,y(-1)=3
|
y′ ′ −4y′ −5y=0,y(−1)=3
|
|
linear y^{''}+5y=0
|
linear y′ ′ +5y=0
|
|
x^{''}+4x^'+16x=0
|
x′ ′ +4x′ +16x=0
|
|
(D^2-2D+3)y=0
|
(D2−2D+3)y=0
|
|
y^{''}-2y^'+1/2 y=0
|
y′ ′ −2y′ +12 y=0
|
|
y^{''}+9y=0,y(0)=1,y^'(0)=-6
|
y′ ′ +9y=0,y(0)=1,y′ (0)=−6
|
|
y^{''}+8y^'+41y=0,y(0)=1,y^'(0)=2
|
y′ ′ +8y′ +41y=0,y(0)=1,y′ (0)=2
|
|
(3y^{''}+2y^'+y)/4 =0
|
3y′ ′ +2y′ +y4 =0
|
|
16y^{''}+y=0
|
16y′ ′ +y=0
|
|
4y^{''}-4y^'+37y=0,y(0)=3,y^'(0)=1.5
|
4y′ ′ −4y′ +37y=0,y(0)=3,y′ (0)=1.5
|
|
y^{''}+6y^'+5y=0,y(0)=3,y^'(0)=-1
|
y′ ′ +6y′ +5y=0,y(0)=3,y′ (0)=−1
|
|
y^{''}+3y^'+8y=0,y(0)=0,y^'(0)=1
|
y′ ′ +3y′ +8y=0,y(0)=0,y′ (0)=1
|
|
linear y^{''}-14y^'+49y=0
|
linear y′ ′ −14y′ +49y=0
|
|
y^{'''}-y^{''}-26y^'-24y=0
|
y′ ′ ′ −y′ ′ −26y′ −24y=0
|
|
y^{''}-2y^'+20y=0
|
y′ ′ −2y′ +20y=0
|
|
y^{''}+8y^'+16y=0,y(0)=2,y^'(0)=-7
|
y′ ′ +8y′ +16y=0,y(0)=2,y′ (0)=−7
|
|
y^{''}-10y^'-25y=0
|
y′ ′ −10y′ −25y=0
|
|
55y^{''''}+119y^{''}+36y=0
|
55y′ ′ ′ ′ +119y′ ′ +36y=0
|
|
y^{''}-36y=0,y(0)=1,y^'(0)=0
|
y′ ′ −36y=0,y(0)=1,y′ (0)=0
|
|
4y^{''}+51y^'+36y=0,y(0)=-5,y^'(0)=-20
|
4y′ ′ +51y′ +36y=0,y(0)=−5,y′ (0)=−20
|
|
y^{''}+9y=0,y(0)=-1,y^'(0)=sqrt(3)
|
y′ ′ +9y=0,y(0)=−1,y′ (0)=√3
|
|
4y^{''}-4y^'+17y=0
|
4y′ ′ −4y′ +17y=0
|
|
4y^{''}-2y^'+9y=0
|
4y′ ′ −2y′ +9y=0
|
|
y^{''}+19y^'+90y=0
|
y′ ′ +19y′ +90y=0
|
|
y^{'''}-4y^{''}-41y^'-36y=0
|
y′ ′ ′ −4y′ ′ −41y′ −36y=0
|
|
y^{'''}+10y^{''}-y^'-3y=0
|
y′ ′ ′ +10y′ ′ −y′ −3y=0
|
|
y^{''}+9y=0,y(0)=3,y^'(0)=12
|
y′ ′ +9y=0,y(0)=3,y′ (0)=12
|
|
y^{''''}-y^{'''}+4y^{''}-4y^'=0
|
y′ ′ ′ ′ −y′ ′ ′ +4y′ ′ −4y′ =0
|
|
y^{''}-4y^'+13y=0,y(0)=0,y^'(0)=2
|
y′ ′ −4y′ +13y=0,y(0)=0,y′ (0)=2
|
|
y^{''}-6y^'+5y=0,y^0=3
|
y′ ′ −6y′ +5y=0,y0=3
|
|
y^{''}+2y^'-3y=0,y(0)=1,y^'(0)=-2
|
y′ ′ +2y′ −3y=0,y(0)=1,y′ (0)=−2
|
|
77y^{''''}+204y^{''}+64y=0
|
77y′ ′ ′ ′ +204y′ ′ +64y=0
|
|
3y^{''}-9y^'+6y=0
|
3y′ ′ −9y′ +6y=0
|
|
(d^2y)/(dx^2)+10((dy)/(dx))+25y=0
|
d2ydx2 +10(dydx )+25y=0
|
|
x^{''}+8x^'+80x=0
|
x′ ′ +8x′ +80x=0
|
|
y^{''}+4y^'+4y=0,y(-1)=5,y^'(-1)=4
|
y′ ′ +4y′ +4y=0,y(−1)=5,y′ (−1)=4
|
|
r^{''}-4r^'-53r=0
|
r′ ′ −4r′ −53r=0
|
|
(D^3+2D^2+D+2)y=0
|
(D3+2D2+D+2)y=0
|
|
y^{''''}-4y^{'''}+2y^{''}+4y^'-3y=0
|
y′ ′ ′ ′ −4y′ ′ ′ +2y′ ′ +4y′ −3y=0
|
|
y^{''''}+y^{'''}-2y^{''}=0
|
y′ ′ ′ ′ +y′ ′ ′ −2y′ ′ =0
|
|
y^{'''}-6y^'+11y^'-6y=0
|
y′ ′ ′ −6y′ +11y′ −6y=0
|
|
(D^2+5D+6)y=0
|
(D2+5D+6)y=0
|
|
5000x^{''}+105324.07x=0
|
5000x′ ′ +105324.07x=0
|
|
81y^{''}-36y^'+8y=0
|
81y′ ′ −36y′ +8y=0
|
|
(d^2y)/(dt^2)+3(dy)/(dt)-10y=0
|
d2ydt2 +3dydt −10y=0
|
|
y^{''}+10y^'+34y=0,y(0)=1,y^'(0)=2
|
y′ ′ +10y′ +34y=0,y(0)=1,y′ (0)=2
|
|
y^{''}-y=0,y(1)=0,y^'(1)=-1
|
y′ ′ −y=0,y(1)=0,y′ (1)=−1
|
|
x^{''}-26x^'+25x=0,x(0)=-1,x^'(0)=2
|
x′ ′ −26x′ +25x=0,x(0)=−1,x′ (0)=2
|
|
D^2(D+4)^3y=0
|
D2(D+4)3y=0
|
|
y^{'''}-8y^{''}+15y^'=0
|
y′ ′ ′ −8y′ ′ +15y′ =0
|
|
y^{'''}+15y^{''}+58y^'+44y=0
|
y′ ′ ′ +15y′ ′ +58y′ +44y=0
|
|
y^{''}-6y^'+4y=0,y(0)=1,y^'(0)=1
|
y′ ′ −6y′ +4y=0,y(0)=1,y′ (0)=1
|
|
y^{''}-2y^'=0,y(0)=3-3e^2,y(1)=0
|
y′ ′ −2y′ =0,y(0)=3−3e2,y(1)=0
|
|
y^{''}+11y^'+24y=0,y^'(0)=-7
|
y′ ′ +11y′ +24y=0,y′ (0)=−7
|
|
y^{''}-18y^'+ay=0,y(0)=1,y^'(0)=17
|
y′ ′ −18y′ +ay=0,y(0)=1,y′ (0)=17
|
|
y^{''}-4y^'+4y=0,y(0)=1,y^'(0)=3
|
y′ ′ −4y′ +4y=0,y(0)=1,y′ (0)=3
|
|
y^{''}+12y^'+36y=0,y(0)=4,y^'(0)=0
|
y′ ′ +12y′ +36y=0,y(0)=4,y′ (0)=0
|
|
x^{''}+x=0,x(0)=-1,x^'(0)=2
|
x′ ′ +x=0,x(0)=−1,x′ (0)=2
|
|
y^{''}+3y^{''}-y^'-3y=0
|
y′ ′ +3y′ ′ −y′ −3y=0
|
|
(D^2-3D)y=0
|
(D2−3D)y=0
|
|
(D^3-D^2-D+1)y=0
|
(D3−D2−D+1)y=0
|
|
y^{''}+2y^'+2y=0,y^0=0,y^'0=1
|
y′ ′ +2y′ +2y=0,y0=0,y′ 0=1
|
|
4(d^2y)/(dx^2)+32(dy)/(dx)+64y=0
|
4d2ydx2 +32dydx +64y=0
|
|
y^{''}+12y^'+36y=0,y(0)=8,y^'(0)=9
|
y′ ′ +12y′ +36y=0,y(0)=8,y′ (0)=9
|
|
y^{''}+6y=0,y(0)=0,y(1)=0
|
y′ ′ +6y=0,y(0)=0,y(1)=0
|
|
y^{''}+4y^'-32y=0,y(0)=a,y^'(0)=-40
|
y′ ′ +4y′ −32y=0,y(0)=a,y′ (0)=−40
|
|
77y^{''''}+303y^{''}+100y=0
|
77y′ ′ ′ ′ +303y′ ′ +100y=0
|
|
x^{''}+25x=0,x(0)=0.6,x^'(0)=1
|
x′ ′ +25x=0,x(0)=0.6,x′ (0)=1
|
|
-a*y^{''}+y^'=0,y(0)=1,y(1)=0
|
−a· y′ ′ +y′ =0,y(0)=1,y(1)=0
|
|
16y^{''}+9y^'=0
|
16y′ ′ +9y′ =0
|
|
y^{''}+4y^'+5y=0,y(0)=0,y^'(0)=0
|
y′ ′ +4y′ +5y=0,y(0)=0,y′ (0)=0
|
|
49y^{''}+42y^'+9y=0,y(0)=7,y^'(0)=1
|
49y′ ′ +42y′ +9y=0,y(0)=7,y′ (0)=1
|
|
y^{''''}-6y^{'''}+5y^{''}=0
|
y′ ′ ′ ′ −6y′ ′ ′ +5y′ ′ =0
|
|
-2y^{''}+6y^'+5y=0
|
−2y′ ′ +6y′ +5y=0
|
|
r^2y^{''}+y^'-n^2y=0
|
r2y′ ′ +y′ −n2y=0
|
|
y^{''}-5y^'+4y=0,y(0)=-1,y^'(0)=-5
|
y′ ′ −5y′ +4y=0,y(0)=−1,y′ (0)=−5
|
|
y^{''}-8y^'+16y=0,y(0)=4,y(1)=5
|
y′ ′ −8y′ +16y=0,y(0)=4,y(1)=5
|
|
0.05y^{''}+2y^'+100y=0
|
0.05y′ ′ +2y′ +100y=0
|
|
x^{''}+0/(1/32)x^'+(13)/(1/32)x=0
|
x′ ′ +0132 x′ +13132 x=0
|
|
y^{''}+4y^'+20y=0,y(pi)=5,y(0)=6
|
y′ ′ +4y′ +20y=0,y(π)=5,y(0)=6
|
|
(D^3-4D^2+3D)y=0
|
(D3−4D2+3D)y=0
|
|
1.5y^{''}+12y^'+24y=0
|
1.5y′ ′ +12y′ +24y=0
|
|
y^{''}-7y^'+12y=0,y^0=0,y^'=3
|
y′ ′ −7y′ +12y=0,y0=0,y′ =3
|
|
49y^{''}+140y^'+136y=0,y(0)=7,y^'(0)=6
|
49y′ ′ +140y′ +136y=0,y(0)=7,y′ (0)=6
|
|
y^{''}+16y^'+63y=0,y(0)=9,y^'(0)=-69
|
y′ ′ +16y′ +63y=0,y(0)=9,y′ (0)=−69
|
|
2y^{''}+25y=0
|
2y′ ′ +25y=0
|
|
y^{''}+0.46y^'+128y=0
|
y′ ′ +0.46y′ +128y=0
|
|
2y^{''}-4y=0
|
2y′ ′ −4y=0
|
|
f^{''}(t)+2f^'(t)+5f(t)=0,f(0)=3,f^'(0)=-7
|
f′ ′ (t)+2f′ (t)+5f(t)=0,f(0)=3,f′ (0)=−7
|
|
y^'-y^{''}-4y^'+4y=0
|
y′ −y′ ′ −4y′ +4y=0
|
|
y^{''}-3y^'+2y=0,y(0)=-1,y^'(0)=2
|
y′ ′ −3y′ +2y=0,y(0)=−1,y′ (0)=2
|
|
(d^2x)/(dt^2)-6(dx)/(dt)+9x=0
|
d2xdt2 −6dxdt +9x=0
|
|
y^{''}-5y^'+4y=0,y(0)=5,y^'(0)=0
|
y′ ′ −5y′ +4y=0,y(0)=5,y′ (0)=0
|
|
y^{''}-4y^'-5y=0,y^'(-1)=9,y(-1)=3
|
y′ ′ −4y′ −5y=0,y′ (−1)=9,y(−1)=3
|
|
y^{'''}-2y^{''}-9y^'+4y=0
|
y′ ′ ′ −2y′ ′ −9y′ +4y=0
|
|
y^{''}+ay=0,y(0)=0,y(1)=0
|
y′ ′ +ay=0,y(0)=0,y(1)=0
|
