|
2y^{''}+16y^'+8y=0,y(0)=5,y^'(0)=0
|
2y′ ′ +16y′ +8y=0,y(0)=5,y′ (0)=0
|
|
(2D^2-5D-3)y=0
|
(2D2−5D−3)y=0
|
|
y^{''}+1960y=0
|
y′ ′ +1960y=0
|
|
y^{''}+9y^'+0y=0
|
y′ ′ +9y′ +0y=0
|
|
y^{'''}+9y^{''}+24y^'+16y=0
|
y′ ′ ′ +9y′ ′ +24y′ +16y=0
|
|
2x^{''}+16x^'+64x=0,x(0)=0,x^'(0)=0.2
|
2x′ ′ +16x′ +64x=0,x(0)=0,x′ (0)=0.2
|
|
y^{''}+10y^'+8y=0
|
y′ ′ +10y′ +8y=0
|
|
y^{'''}+8y^{''}+19y^'+12y=0
|
y′ ′ ′ +8y′ ′ +19y′ +12y=0
|
|
y^{''}+25y=0,y(0)=0,y^'(0)=4
|
y′ ′ +25y=0,y(0)=0,y′ (0)=4
|
|
81y^{''}+108y^'-13y=0,y(0)=1,y^'(0)=0
|
81y′ ′ +108y′ −13y=0,y(0)=1,y′ (0)=0
|
|
x^{''}+0.5x^'+4x=0
|
x′ ′ +0.5x′ +4x=0
|
|
x^{''}-c^2x=0
|
x′ ′ −c2x=0
|
|
y^{''}-8y^'+65y=0,y(0)=1,y^'(0)=2
|
y′ ′ −8y′ +65y=0,y(0)=1,y′ (0)=2
|
|
y^{''}-9y^'+22y=0
|
y′ ′ −9y′ +22y=0
|
|
y^{''}+6y+25y=0,y(0)=1,y^'(0)=-1
|
y′ ′ +6y+25y=0,y(0)=1,y′ (0)=−1
|
|
8y^{''}+2y^'=0
|
8y′ ′ +2y′ =0
|
|
15x^{''}+44x=0
|
15x′ ′ +44x=0
|
|
x^{''}-7x^'+10x=0
|
x′ ′ −7x′ +10x=0
|
|
3/4 x^{''}+9x=0
|
34 x′ ′ +9x=0
|
|
y^{''}-12y^'+36y=0,y(0)=6,y^'(0)=1
|
y′ ′ −12y′ +36y=0,y(0)=6,y′ (0)=1
|
|
y^{''}+6y^'+35y=0
|
y′ ′ +6y′ +35y=0
|
|
(4D^3-15D^2+5D+6)y=0
|
(4D3−15D2+5D+6)y=0
|
|
y^{''''}-k^2y=0
|
y′ ′ ′ ′ −k2y=0
|
|
y^{''}+5y^'-24y=0,y(0)=a,y^'(0)=80
|
y′ ′ +5y′ −24y=0,y(0)=a,y′ (0)=80
|
|
44y^{'''}+15y^{''}+y^'=0
|
44y′ ′ ′ +15y′ ′ +y′ =0
|
|
16x^{''}+8x^'+145x=0,x(0)=-2,x^'(0)=1
|
16x′ ′ +8x′ +145x=0,x(0)=−2,x′ (0)=1
|
|
y^{''}+14y^'+50y=0,y(0)=1,y^'(0)=0
|
y′ ′ +14y′ +50y=0,y(0)=1,y′ (0)=0
|
|
y^{''}+10y^'+25y=0,y(0)=5,y^'(0)=0
|
y′ ′ +10y′ +25y=0,y(0)=5,y′ (0)=0
|
|
(d^2y)/(dx^2)-13(dy)/(dx)+12y=0
|
d2ydx2 −13dydx +12y=0
|
|
3/4 x^{''}+72x=0,x(0)= 1/3 ,x^'(0)=0
|
34 x′ ′ +72x=0,x(0)=13 ,x′ (0)=0
|
|
y^{''}-2y+y^'=0
|
y′ ′ −2y+y′ =0
|
|
y^{''}+81y=0,y(0)=1,y^'(0)=7
|
y′ ′ +81y=0,y(0)=1,y′ (0)=7
|
|
2y^{''}+4y^'+6y=0
|
2y′ ′ +4y′ +6y=0
|
|
(d^2y)/(dx^2)-4 derivative of 4+4y=0
|
d2ydx2 −4ddx (4)+4y=0
|
|
-0.0375x^{''}+0.4535x^'+3.34x=0
|
−0.0375x′ ′ +0.4535x′ +3.34x=0
|
|
y^'=7y^{''}
|
y′ =7y′ ′
|
|
6y^{'''}+78y^'-696y=0
|
6y′ ′ ′ +78y′ −696y=0
|
|
y^{''}-1/(a^2)y=0
|
y′ ′ −1a2 y=0
|
|
y^{''}+y^'-6y=0,y(0)=-3
|
y′ ′ +y′ −6y=0,y(0)=−3
|
|
x^{''}+6x^'+3x=0,x^'(0)=1,x(0)=2
|
x′ ′ +6x′ +3x=0,x′ (0)=1,x(0)=2
|
|
y^{'''}+3y+4y=0
|
y′ ′ ′ +3y+4y=0
|
|
y^{''}-ay^'+y=0
|
y′ ′ −ay′ +y=0
|
|
y^{''}+4y^'+20y=0,y(pi)=4,y(0)=2
|
y′ ′ +4y′ +20y=0,y(π)=4,y(0)=2
|
|
y^{''}+2y^{''}+y=0
|
y′ ′ +2y′ ′ +y=0
|
|
(d^2y)/(dx^2)(1)-(dy)/(dx)(9)=0
|
d2ydx2 (1)−dydx (9)=0
|
|
7y^{''}+34y^'-5y=0
|
7y′ ′ +34y′ −5y=0
|
|
(D^2-DD+D^2)z=0
|
(D2−DD+D2)z=0
|
|
9y^{''}+12y^'+4y=0,y^'(0)=-1
|
9y′ ′ +12y′ +4y=0,y′ (0)=−1
|
|
y^{''}-5y^'=0,y(0)=7-7e^5,y(1)=0
|
y′ ′ −5y′ =0,y(0)=7−7e5,y(1)=0
|
|
y^{''}+12y^'+ay=0
|
y′ ′ +12y′ +ay=0
|
|
線形 y^{''}+3y^'+2y=0,y(0)=1,y^'(0)=0
|
linear y′ ′ +3y′ +2y=0,y(0)=1,y′ (0)=0
|
|
(d^2y)/(dx^2)+5^2y=0
|
d2ydx2 +52y=0
|
|
y^{''}+6y^'+13y=0,y(0)=3
|
y′ ′ +6y′ +13y=0,y(0)=3
|
|
2y^{''}+9y^'-5y=0
|
2y′ ′ +9y′ −5y=0
|
|
y^{''}+1y=0,y(pi^2)=3,y^'(pi^2)=-1
|
y′ ′ +1y=0,y(π2)=3,y′ (π2)=−1
|
|
-2y^{''}+4y^'=0
|
−2y′ ′ +4y′ =0
|
|
8x^{''}+20x^'+32x=0
|
8x′ ′ +20x′ +32x=0
|
|
(D^4+18D^2+81)y=0
|
(D4+18D2+81)y=0
|
|
y^{''}+12y^'+36y=0,y(0)=2,y^'(0)=0
|
y′ ′ +12y′ +36y=0,y(0)=2,y′ (0)=0
|
|
2y^{''}+8y=0,y^'(0)=1,y(0)=0
|
2y′ ′ +8y=0,y′ (0)=1,y(0)=0
|
|
(D^4-2D^3-3D^2+4D+4)y=0
|
(D4−2D3−3D2+4D+4)y=0
|
|
40y^{''}+7y^'-3y=0
|
40y′ ′ +7y′ −3y=0
|
|
y^{''}+k^2*y=0
|
y′ ′ +k2· y=0
|
|
線形 y^{''}=y
|
linear y′ ′ =y
|
|
y^{''}-7y^'-8y=0,y(0)=1,y^'(0)=-1
|
y′ ′ −7y′ −8y=0,y(0)=1,y′ (0)=−1
|
|
y^{''''}-8y^{'''}+18y^{''}-27y=0
|
y′ ′ ′ ′ −8y′ ′ ′ +18y′ ′ −27y=0
|
|
y^{''}+y^'=0,y^'(0)=1
|
y′ ′ +y′ =0,y′ (0)=1
|
|
3y^{''}+2y^'=0,y(0)=-6,y^'(0)=-18
|
3y′ ′ +2y′ =0,y(0)=−6,y′ (0)=−18
|
|
3/16 y^{''}+12y=0,y(0)= 2/3 ,y^'(0)=-3
|
316 y′ ′ +12y=0,y(0)=23 ,y′ (0)=−3
|
|
y^{''}+14y^'+49y=0,y(0)=1,y^'(0)=3
|
y′ ′ +14y′ +49y=0,y(0)=1,y′ (0)=3
|
|
y^{''}+4y^'+(a^2-2)y=0
|
y′ ′ +4y′ +(a2−2)y=0
|
|
線形 y^{''''}-y=0
|
linear y′ ′ ′ ′ −y=0
|
|
25x^{''}+5x^'+204.167x=0,x(0)=28.577
|
25x′ ′ +5x′ +204.167x=0,x(0)=28.577
|
|
y^{''}+2y^'+5y=0,y(0)=2,y^'(0)=4
|
y′ ′ +2y′ +5y=0,y(0)=2,y′ (0)=4
|
|
(d^2y)/(dt^2)-14(dy)/(dt)+149y=0
|
d2ydt2 −14dydt +149y=0
|
|
4y^{''}-y^'-y=0
|
4y′ ′ −y′ −y=0
|
|
1/8 y^{''}+16y=0
|
18 y′ ′ +16y=0
|
|
y^{''''}-4y=0
|
y′ ′ ′ ′ −4y=0
|
|
y^{''}=6y^'-8y
|
y′ ′ =6y′ −8y
|
|
y^{''}+64/17*y^'+320/17*y=0
|
y′ ′ +6417 · y′ +32017 · y=0
|
|
6y^{''}-y^'-y=0,y(0)=1.25
|
6y′ ′ −y′ −y=0,y(0)=1.25
|
|
y^{''}-11y+24y=0
|
y′ ′ −11y+24y=0
|
|
y^{''}+3y^'-10y=0,y(0)=α,y^'(0)=1
|
y′ ′ +3y′ −10y=0,y(0)=α,y′ (0)=1
|
|
4y^{''}+8y^'-21y=0,y(0)=1,y^'(0)=0
|
4y′ ′ +8y′ −21y=0,y(0)=1,y′ (0)=0
|
|
y^{''}+3y^'-10y=0,y(0)=α,y^'(0)=5
|
y′ ′ +3y′ −10y=0,y(0)=α,y′ (0)=5
|
|
線形 y^{''}+49y=0
|
linear y′ ′ +49y=0
|
|
x^{''}+ax^'+2^2x=0
|
x′ ′ +ax′ +22x=0
|
|
y^{''}+2y^'+y=0,y(1)=2,y^'(0)=2
|
y′ ′ +2y′ +y=0,y(1)=2,y′ (0)=2
|
|
(d^2x)/(dt^2)+a*(dx)/(dt)=0
|
d2xdt2 +a· dxdt =0
|
|
(d^2y)/(dx^2)+(dy)/(dx)+4y=0
|
d2ydx2 +dydx +4y=0
|
|
y^{''}+6y^'+10y=0,y(pi/2)=0,y^'(pi/2)=8
|
y′ ′ +6y′ +10y=0,y(π2 )=0,y′ (π2 )=8
|
|
(d^2-2)y=0
|
(d2−2)y=0
|
|
(d^6y)/(dx^6)-2(d^3y)/(dx^3)+y=0
|
d6ydx6 −2d3ydx3 +y=0
|
|
y^{''}-4y^'+4y=0,y(0)=-4,y^'(0)=-10
|
y′ ′ −4y′ +4y=0,y(0)=−4,y′ (0)=−10
|
|
y^{''}-y=0,y(0)=1,y(0)=1
|
y′ ′ −y=0,y(0)=1,y(0)=1
|
|
y^{''}-2y^'+5y=0,y(0)=-4,y^'(0)=3
|
y′ ′ −2y′ +5y=0,y(0)=−4,y′ (0)=3
|
|
x^{''}+4x^'-5x=0
|
x′ ′ +4x′ −5x=0
|
|
9y^{''}-42y^'+49y=0
|
9y′ ′ −42y′ +49y=0
|
|
x^{''}+2ax^'+bx=0
|
x′ ′ +2ax′ +bx=0
|
|
y^{''''}+4y^{'''}+4y^{''}-4y^'-5y=0
|
y′ ′ ′ ′ +4y′ ′ ′ +4y′ ′ −4y′ −5y=0
|
