|
y^{''}+2y^'-8y=0,y(0)=3
|
y′ ′ +2y′ −8y=0,y(0)=3
|
|
S^{''}+16S=0,S(0)=4,S^'(0)=2
|
S′ ′ +16S=0,S(0)=4,S′ (0)=2
|
|
y^{''}-y^'-20y=0,y(0)=α,y^'(0)=2
|
y′ ′ −y′ −20y=0,y(0)=α,y′ (0)=2
|
|
144y^{''}-312y^'+169y=0
|
144y′ ′ −312y′ +169y=0
|
|
y^{''}+25y=0,y(0)=1,y^'(0)=-1
|
y′ ′ +25y=0,y(0)=1,y′ (0)=−1
|
|
y^{''}-18y^'+97y=0
|
y′ ′ −18y′ +97y=0
|
|
(d^3y)/(dx^3)+3(d^2y)/(dx^2)=0
|
d3ydx3 +3d2ydx2 =0
|
|
y^{''}+16/3 y=0
|
y′ ′ +163 y=0
|
|
4y^{''}+22y^'+18y=0,y(0)=3,y^'(0)=0
|
4y′ ′ +22y′ +18y=0,y(0)=3,y′ (0)=0
|
|
2y^{''}-5y-3y=0
|
2y′ ′ −5y−3y=0
|
|
y^{''}+10.5y=0
|
y′ ′ +10.5y=0
|
|
(d^2y)/(dx^2)+7(dy)/(dx)-12y=0
|
d2ydx2 +7dydx −12y=0
|
|
y^{''}-4y=0,y(0)=0
|
y′ ′ −4y=0,y(0)=0
|
|
y^{''''}+4y^{'''}+y^{''}-5y^'+y=0
|
y′ ′ ′ ′ +4y′ ′ ′ +y′ ′ −5y′ +y=0
|
|
y^{''}+3y^'-3y=0
|
y′ ′ +3y′ −3y=0
|
|
x^{''}+2x^'+1^2x=0
|
x′ ′ +2x′ +12x=0
|
|
y^{''}+3y^'-4y=0,y(0)=5,y^'(0)=10
|
y′ ′ +3y′ −4y=0,y(0)=5,y′ (0)=10
|
|
x^{''}-2x^'+3x=0
|
x′ ′ −2x′ +3x=0
|
|
2y^{''}+5y^'-3y=0,y(0)=5,y^'(0)=13
|
2y′ ′ +5y′ −3y=0,y(0)=5,y′ (0)=13
|
|
y^{'''}+3y-10y^'=0
|
y′ ′ ′ +3y−10y′ =0
|
|
(D^3+6D^2+11D+6)y=0
|
(D3+6D2+11D+6)y=0
|
|
y^{''}+48/2 y^'=0
|
y′ ′ +482 y′ =0
|
|
3y^{''}-2y^'-7y=0
|
3y′ ′ −2y′ −7y=0
|
|
y^{''}+y^'+9.5y=0
|
y′ ′ +y′ +9.5y=0
|
|
y^{''}+16y=0,y(pi^8)=-2,y^'(pi^8)=16
|
y′ ′ +16y=0,y(π8)=−2,y′ (π8)=16
|
|
y^{''}-3y^'-4y=0,y(0)=3,y(0)=2
|
y′ ′ −3y′ −4y=0,y(0)=3,y(0)=2
|
|
y^{''}-10/3 y^'+αy=0
|
y′ ′ −103 y′ +αy=0
|
|
(y^{''}+4y)^4=0
|
(y′ ′ +4y)4=0
|
|
(d^2y)/(dx^2)+0.25(dy)/(dx)+2y=0
|
d2ydx2 +0.25dydx +2y=0
|
|
2y^{''}+y^'-y=0,y(0)=0,y^'(0)=2
|
2y′ ′ +y′ −y=0,y(0)=0,y′ (0)=2
|
|
((d^2y)/(dx^2))-4y=0
|
(d2ydx2 )−4y=0
|
|
y^'+3y^{''}-y^'-3y=0
|
y′ +3y′ ′ −y′ −3y=0
|
|
y^{''}+12y^'+37y=4y
|
y′ ′ +12y′ +37y=4y
|
|
y^{''}-y^'-12y=0,y(1)=0y^'(1)
|
y′ ′ −y′ −12y=0,y(1)=0y′ (1)
|
|
線形 y^{'''}-5y^{''}-4y^'+20y=0
|
linear y′ ′ ′ −5y′ ′ −4y′ +20y=0
|
|
y^{''}+4y^'+4y=0,y(0)=2,y^'(0)=-3
|
y′ ′ +4y′ +4y=0,y(0)=2,y′ (0)=−3
|
|
(d^2y)/(dx^2)+4y=0,y=-cos(2x)
|
d2ydx2 +4y=0,y=−cos(2x)
|
|
y^{'''}+2y^{''}-11y^'-12y=0
|
y′ ′ ′ +2y′ ′ −11y′ −12y=0
|
|
y^{''}-5y^'-6y=0,y(0)=x,y^'(0)=4
|
y′ ′ −5y′ −6y=0,y(0)=x,y′ (0)=4
|
|
y^{''}-4y^'+4y=0,y(0)=0,y^'(0)=-2
|
y′ ′ −4y′ +4y=0,y(0)=0,y′ (0)=−2
|
|
y^{''}+20y^'+αy=0,y(0)=1,y^'(0)=-24
|
y′ ′ +20y′ +αy=0,y(0)=1,y′ (0)=−24
|
|
y^{'''}-3y^{''}-54y^'=0
|
y′ ′ ′ −3y′ ′ −54y′ =0
|
|
77y^{''''}+123y^{''}+16y=0
|
77y′ ′ ′ ′ +123y′ ′ +16y=0
|
|
1.6x^{''}+40x=0,x(0)=-1/3 ,x^'(0)= 5/4
|
1.6x′ ′ +40x=0,x(0)=−13 ,x′ (0)=54
|
|
y^{''}-2ay^'+(a^2-e^2)y=0
|
y′ ′ −2ay′ +(a2−e2)y=0
|
|
y^{''}-y^'-6y=0,y(0)=2y^'(0)-1
|
y′ ′ −y′ −6y=0,y(0)=2y′ (0)−1
|
|
2y^{''}-2y^'-15y=0
|
2y′ ′ −2y′ −15y=0
|
|
4y^{''}-784y=0,y(0)=0
|
4y′ ′ −784y=0,y(0)=0
|
|
y^{'''}+5y^{''}-16y^'-170y=0
|
y′ ′ ′ +5y′ ′ −16y′ −170y=0
|
|
y^{''}-35y=0
|
y′ ′ −35y=0
|
|
y^{''''}-4y^{'''}-16y^{''}+64y^'=0
|
y′ ′ ′ ′ −4y′ ′ ′ −16y′ ′ +64y′ =0
|
|
5y^{''}-7y^'+2y=0,y(0)=1,y^'(0)=-0.8
|
5y′ ′ −7y′ +2y=0,y(0)=1,y′ (0)=−0.8
|
|
4x^{''}+x^'+2x=0,x(0)=0,x(0)=-1,x^'(0)=12
|
4x′ ′ +x′ +2x=0,x(0)=0,x(0)=−1,x′ (0)=12
|
|
2y^{''}-5y^'-3y=0,y(0)=0,y^'(0)=2
|
2y′ ′ −5y′ −3y=0,y(0)=0,y′ (0)=2
|
|
(d^2y)/(dx^2)+4((dy)/(dx))+4y=0
|
d2ydx2 +4(dydx )+4y=0
|
|
35y^{''''}+143y^{''}+144y=0
|
35y′ ′ ′ ′ +143y′ ′ +144y=0
|
|
y^{'''}-7y^{''}+10y=0,y^'(0)=1
|
y′ ′ ′ −7y′ ′ +10y=0,y′ (0)=1
|
|
7x^{''}+3x^'+7x=0,x(0)=-4,x^'(0)=0
|
7x′ ′ +3x′ +7x=0,x(0)=−4,x′ (0)=0
|
|
y^{'''}-21y^{''}+128y^'-240y=0
|
y′ ′ ′ −21y′ ′ +128y′ −240y=0
|
|
y^{''}-6y^'+45y=0,y(0)=4,y^'(0)=-6
|
y′ ′ −6y′ +45y=0,y(0)=4,y′ (0)=−6
|
|
24y^{''}+y^'-3y=0
|
24y′ ′ +y′ −3y=0
|
|
x^{''}-x^'+2x=0
|
x′ ′ −x′ +2x=0
|
|
20y^{''}+80y^'+100y=0
|
20y′ ′ +80y′ +100y=0
|
|
2y^{''}+3y-2y=0
|
2y′ ′ +3y−2y=0
|
|
y^{''}+15y=0,y(0)=sin(kt)
|
y′ ′ +15y=0,y(0)=sin(kt)
|
|
y^{''}-1/c y=0
|
y′ ′ −1c y=0
|
|
2y^{''}+12y=0
|
2y′ ′ +12y=0
|
|
y^{''}-2y^'-3y=0,y(0)=0,y^'(0)=4
|
y′ ′ −2y′ −3y=0,y(0)=0,y′ (0)=4
|
|
y^{''}-3y^'+5y=0
|
y′ ′ −3y′ +5y=0
|
|
y^{''}+2y^'+36y=0
|
y′ ′ +2y′ +36y=0
|
|
x^3y^{''}+2x^3y^'+x^3y=0
|
x3y′ ′ +2x3y′ +x3y=0
|
|
16y^{''}-6y^'-7y=0
|
16y′ ′ −6y′ −7y=0
|
|
y^{'''}-y^{''}+3y^'+5y=0
|
y′ ′ ′ −y′ ′ +3y′ +5y=0
|
|
y^{''}+4y^'+2y=0,y(0)=0,y^'(0)=2
|
y′ ′ +4y′ +2y=0,y(0)=0,y′ (0)=2
|
|
y^{''}+20y^'+36y=0,y(0)=1,y^'(0)=0
|
y′ ′ +20y′ +36y=0,y(0)=1,y′ (0)=0
|
|
64y^{''}-48y^'+9y=0
|
64y′ ′ −48y′ +9y=0
|
|
x^{''}-2x^'+2x=0
|
x′ ′ −2x′ +2x=0
|
|
u^{''}+0.3u^'+2.7\H(t)=0
|
u′ ′ +0.3u′ +2.7H(t)=0
|
|
y^{''}+5y^'+y=0,y(0)=0
|
y′ ′ +5y′ +y=0,y(0)=0
|
|
y^{''}-5y^'-6y=0,y(0)=-1,y^'(0)=15
|
y′ ′ −5y′ −6y=0,y(0)=−1,y′ (0)=15
|
|
y^{'''}+48y^{''}+768y^'+4096y=0
|
y′ ′ ′ +48y′ ′ +768y′ +4096y=0
|
|
y^{''}-5y^'+6y=0,y^'(0)=1
|
y′ ′ −5y′ +6y=0,y′ (0)=1
|
|
10y^{''}-50y^'+65y=0,y(0)=1,y^'(0)=1
|
10y′ ′ −50y′ +65y=0,y(0)=1,y′ (0)=1
|
|
x^{''}-3x^'+2x=0,x^0=1,x^'0=-1
|
x′ ′ −3x′ +2x=0,x0=1,x′ 0=−1
|
|
y^{''}-7y^'+12y=0,y(0)=2,y^'(0)=3
|
y′ ′ −7y′ +12y=0,y(0)=2,y′ (0)=3
|
|
y^{''''}-y^{'''}-3y^{''}+17y^'-30y=0
|
y′ ′ ′ ′ −y′ ′ ′ −3y′ ′ +17y′ −30y=0
|
|
(d^3-d^2-4d+4)y=0
|
(d3−d2−4d+4)y=0
|
|
4y^{''}+1/784 y=0,y(0)=7
|
4y′ ′ +1784 y=0,y(0)=7
|
|
64y^{''}+144y^'+83y=0
|
64y′ ′ +144y′ +83y=0
|
|
x^{''}+2*x^'+x=0
|
x′ ′ +2· x′ +x=0
|
|
0.2x^{''}+4x^'+20x=0
|
0.2x′ ′ +4x′ +20x=0
|
|
y^{''}+y=0,y(0)=0,y^'(0)=-2
|
y′ ′ +y=0,y(0)=0,y′ (0)=−2
|
|
(D^4+D^3-3D^2-5D-2)y=0
|
(D4+D3−3D2−5D−2)y=0
|
|
x^{''}+5x^'+6x=0,x(0)=2,x^'(0)=3
|
x′ ′ +5x′ +6x=0,x(0)=2,x′ (0)=3
|
|
625y^{''''}-y=0
|
625y′ ′ ′ ′ −y=0
|
|
10y^{''}+9y^'+2y^'=0
|
10y′ ′ +9y′ +2y′ =0
|
|
0.1y^{''}+y^'+y=0
|
0.1y′ ′ +y′ +y=0
|
|
4y^{''}+14y^'-8y=0
|
4y′ ′ +14y′ −8y=0
|
|
x^{''}+11x+20x=0
|
x′ ′ +11x+20x=0
|
|
y^{''}+4y^'+cy=0,y(0)=0,y^'(0)=-3
|
y′ ′ +4y′ +cy=0,y(0)=0,y′ (0)=−3
|
