|
10000y^{''}-81y^'=0,y(0)=8,y^'(0)=5
|
10000y′ ′ −81y′ =0,y(0)=8,y′ (0)=5
|
|
y^{''}-4y^'+4y=0,y(0)=8,y(1)=0
|
y′ ′ −4y′ +4y=0,y(0)=8,y(1)=0
|
|
(d^2y)/(dx^2)-11/2 (dy)/(dx)+6y=0
|
d2ydx2 −112 dydx +6y=0
|
|
y^{'''}-27y=0
|
y′ ′ ′ −27y=0
|
|
(D^2-6D+9)y=0
|
(D2−6D+9)y=0
|
|
4y^{''}+4y^'+512y=0,y(0)=0,y^'(0)=7
|
4y′ ′ +4y′ +512y=0,y(0)=0,y′ (0)=7
|
|
(d^2y)/(dx^2)-5((dy)/(dx))+6y=0
|
d2ydx2 −5(dydx )+6y=0
|
|
y^{''}+10y^'+16y=0,y(0)=0,y^'(0)=-6
|
y′ ′ +10y′ +16y=0,y(0)=0,y′ (0)=−6
|
|
y^{''}= y/4
|
y′ ′ =y4
|
|
y^{''}-4y^'+8y=0,y^'(0)=2,y(0)=0
|
y′ ′ −4y′ +8y=0,y′ (0)=2,y(0)=0
|
|
y^{''}=6y^'-8y,y(0)=0,y^'(0)=2
|
y′ ′ =6y′ −8y,y(0)=0,y′ (0)=2
|
|
y^{''}+4y^1-y=0
|
y′ ′ +4y1−y=0
|
|
y^{''}+pi^2*y=0
|
y′ ′ +π2· y=0
|
|
y^{''}+(25/6)y^'+25y=0
|
y′ ′ +(256 )y′ +25y=0
|
|
(D^3-1)y=0
|
(D3−1)y=0
|
|
28y^{''}+17y^'-3y=0
|
28y′ ′ +17y′ −3y=0
|
|
x^{''}+6x^'+25x=0,x(0)= 1/2 ,x^'(0)=0
|
x′ ′ +6x′ +25x=0,x(0)=12 ,x′ (0)=0
|
|
81y^{''}-90y^'+106y=0
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81y′ ′ −90y′ +106y=0
|
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y^{''}+4y^'+13y=0,y(0)=4,y^'(0)=-7
|
y′ ′ +4y′ +13y=0,y(0)=4,y′ (0)=−7
|
|
y^{''}-2y^'+y=0,y(2)=1,y^'(2)=2
|
y′ ′ −2y′ +y=0,y(2)=1,y′ (2)=2
|
|
y^{''}+14y^'+51y=0
|
y′ ′ +14y′ +51y=0
|
|
y^{'''}-4y^{''}-5y^'=0,y(1)=0,y^'(1)=8
|
y′ ′ ′ −4y′ ′ −5y′ =0,y(1)=0,y′ (1)=8
|
|
y^{''}-1y^'+0.1y=0
|
y′ ′ −1y′ +0.1y=0
|
|
(d^4-1)y=0
|
(d4−1)y=0
|
|
4y^{''}-2y^'-2y=0,y(0)=2,y^'(0)=1
|
4y′ ′ −2y′ −2y=0,y(0)=2,y′ (0)=1
|
|
u^{''}+49\H(t)=0,\H(0)=3,u^'(0)=-7
|
u′ ′ +49H(t)=0,H(0)=3,u′ (0)=−7
|
|
y^{'''}-6y^{''}+11y^'-6y=0,y(pi)=0
|
y′ ′ ′ −6y′ ′ +11y′ −6y=0,y(π)=0
|
|
4y^{''}-4y+5y=0,y(0)= 1/2 ,y^'(0)=1
|
4y′ ′ −4y+5y=0,y(0)=12 ,y′ (0)=1
|
|
y^{''}-10y^'-16y=0
|
y′ ′ −10y′ −16y=0
|
|
y^'+y=y^{''}
|
y′ +y=y′ ′
|
|
5/6 y^{''}+10y^'+60y=0,y(0)=0,y^'(0)=0
|
56 y′ ′ +10y′ +60y=0,y(0)=0,y′ (0)=0
|
|
(d^2y)/(dx^2)+(dy)/(dx)+6y=0
|
d2ydx2 +dydx +6y=0
|
|
-y^{''}+9y=0
|
−y′ ′ +9y=0
|
|
25x^{''}+50x^'+169x=0,x(0)=2,x^'(0)=6
|
25x′ ′ +50x′ +169x=0,x(0)=2,x′ (0)=6
|
|
y^{''}+2y=0,y(pi)=0,y(0)=1
|
y′ ′ +2y=0,y(π)=0,y(0)=1
|
|
3y^{''}-15y^'+4y=0
|
3y′ ′ −15y′ +4y=0
|
|
1y^{''}+10y^'+25y=0,y(0)=1,y^'(0)=0
|
1y′ ′ +10y′ +25y=0,y(0)=1,y′ (0)=0
|
|
y^{''}+12y^'+27y=0,y(0)=1,y^'(0)=-12
|
y′ ′ +12y′ +27y=0,y(0)=1,y′ (0)=−12
|
|
18y^{''}+9y^'-5y=0
|
18y′ ′ +9y′ −5y=0
|
|
y^{''}+2y^'+5y=0,y(0)=3,y^'(0)=4
|
y′ ′ +2y′ +5y=0,y(0)=3,y′ (0)=4
|
|
y^{'''}+y^{''}-4y^'+6y=0
|
y′ ′ ′ +y′ ′ −4y′ +6y=0
|
|
(d^2y)/(dx^2)(1)-9y=0
|
d2ydx2 (1)−9y=0
|
|
y^{'''}+3y^{''}-30y^'-50y=0
|
y′ ′ ′ +3y′ ′ −30y′ −50y=0
|
|
25y^{''}-40y^'+16y=0,y(0)=4,y^'(0)=-3
|
25y′ ′ −40y′ +16y=0,y(0)=4,y′ (0)=−3
|
|
y^{''}-16y=0,y(0)=3,y^'(0)=5
|
y′ ′ −16y=0,y(0)=3,y′ (0)=5
|
|
(d^4y)/(dx^4)-(d^2y)/(dx^2)+4y=0
|
d4ydx4 −d2ydx2 +4y=0
|
|
(d^2y)/(dx^2)=0.15y,y(0)=240,y(10)=150
|
d2ydx2 =0.15y,y(0)=240,y(10)=150
|
|
y^{''}-4y^'+13y=0,y(0)=-2,y^'(0)=-16
|
y′ ′ −4y′ +13y=0,y(0)=−2,y′ (0)=−16
|
|
y=10y^{''}
|
y=10y′ ′
|
|
y^{''}-2y^'-6y=0
|
y′ ′ −2y′ −6y=0
|
|
y^{''}+3y^'-18y=0,y(0)=-1,y^'(0)=24
|
y′ ′ +3y′ −18y=0,y(0)=−1,y′ (0)=24
|
|
y^{''}+4y^'+5y=0,y(0)=1
|
y′ ′ +4y′ +5y=0,y(0)=1
|
|
y^{'''}+2y^{''}-10y^'+4y=0
|
y′ ′ ′ +2y′ ′ −10y′ +4y=0
|
|
y^{''}-3y^'-18y=0,y(0)=24
|
y′ ′ −3y′ −18y=0,y(0)=24
|
|
1y^{''}+0y^'+9y=0,y(0)=6,y^'(0)=-17
|
1y′ ′ +0y′ +9y=0,y(0)=6,y′ (0)=−17
|
|
(d^2y)/(dx^2)-5(dy)/(dx)+15y=0
|
d2ydx2 −5dydx +15y=0
|
|
y^{''}+a/b y^'=0
|
y′ ′ +ab y′ =0
|
|
(D^2+3D)y=0
|
(D2+3D)y=0
|
|
y^{''}+6y^'+25y=0,y(0)=6,y^'(0)=-17
|
y′ ′ +6y′ +25y=0,y(0)=6,y′ (0)=−17
|
|
x^{''}+36x=0
|
x′ ′ +36x=0
|
|
linear (d^2y)/(dx^2)-13(dy)/(dx)+12y=0
|
linear d2ydx2 −13dydx +12y=0
|
|
-2y^{''}-2*pi^2y=0
|
−2y′ ′ −2· π2y=0
|
|
y^{''}+6y^'+9y=0,y(0)=4,y^'(0)=1
|
y′ ′ +6y′ +9y=0,y(0)=4,y′ (0)=1
|
|
2y^{''}+5y^'-3y=0,y(0)=22
|
2y′ ′ +5y′ −3y=0,y(0)=22
|
|
y^{''}-2y^'-15y=0,y(0)=1,y^'(0)=37
|
y′ ′ −2y′ −15y=0,y(0)=1,y′ (0)=37
|
|
2u^{''}+3/5 u^'+30\H(t)=0
|
2u′ ′ +35 u′ +30H(t)=0
|
|
49y^{''}-112y^'+64y=0
|
49y′ ′ −112y′ +64y=0
|
|
-(d^2y)/(dx^2)+400y=0
|
−d2ydx2 +400y=0
|
|
y^{''}-2y=0,y(0)=1,y^'(0)=6
|
y′ ′ −2y=0,y(0)=1,y′ (0)=6
|
|
y^{''}+25y=0,y^'(pi)=0,y^'(0)=0
|
y′ ′ +25y=0,y′ (π)=0,y′ (0)=0
|
|
y^{''''}-k^2y^{''}=0
|
y′ ′ ′ ′ −k2y′ ′ =0
|
|
y^{''''}-y^{''}=2(4y^{'''})
|
y′ ′ ′ ′ −y′ ′ =2(4y′ ′ ′ )
|
|
y^{''}-4y=0,y^'(-1)=1,y(2)=2
|
y′ ′ −4y=0,y′ (−1)=1,y(2)=2
|
|
y^{'''}+y^{''}+y^'-39y=0
|
y′ ′ ′ +y′ ′ +y′ −39y=0
|
|
y^{''}+4y+68y=0,y(0)=7
|
y′ ′ +4y+68y=0,y(0)=7
|
|
3y^{''}+48y=0,y(0)=4,y^'(0)=8
|
3y′ ′ +48y=0,y(0)=4,y′ (0)=8
|
|
y^{''''}+4y^{'''}+y^{''}-4y^'-2y=0
|
y′ ′ ′ ′ +4y′ ′ ′ +y′ ′ −4y′ −2y=0
|
|
(d^2f)/(dx^2)+(df)/(dx)=0
|
d2fdx2 +dfdx =0
|
|
y^{''}+2y^'+y=0,y(0)=2,y^'(0)=1
|
y′ ′ +2y′ +y=0,y(0)=2,y′ (0)=1
|
|
y^{''}+2y^'+2y=0,y(pi/4)=0,y^'(pi/4)=-2
|
y′ ′ +2y′ +2y=0,y(π4 )=0,y′ (π4 )=−2
|
|
linear y^{'''}+19y^{''}-14y^'-266y=0
|
linear y′ ′ ′ +19y′ ′ −14y′ −266y=0
|
|
40y^{''}-ay^'+4000y=0
|
40y′ ′ −ay′ +4000y=0
|
|
y^{''}+6y^'+9y=0,y(0)=0
|
y′ ′ +6y′ +9y=0,y(0)=0
|
|
y^{''}-6y+9y=0,y^1(0)=e^{3x}
|
y′ ′ −6y+9y=0,y1(0)=e3x
|
|
y^{''}-3y^'+2y=0,y(0)=1,y^'(0)=1
|
y′ ′ −3y′ +2y=0,y(0)=1,y′ (0)=1
|
|
y^{''}+2y^'+y=0,y(1)=6,y^'(0)=6
|
y′ ′ +2y′ +y=0,y(1)=6,y′ (0)=6
|
|
y^{'''}-13y^{''}+12y^'=0
|
y′ ′ ′ −13y′ ′ +12y′ =0
|
|
y^{''}-5y+6y=0,y(0)=-3/5 ,y^'(0)=-13/5
|
y′ ′ −5y+6y=0,y(0)=−35 ,y′ (0)=−135
|
|
y^{''''}=81y
|
y′ ′ ′ ′ =81y
|
|
9y^{''}+12y^'+29y=0,y(0)=1,y^'(1)=3
|
9y′ ′ +12y′ +29y=0,y(0)=1,y′ (1)=3
|
|
f^{''}(t)+f(t)=0
|
f′ ′ (t)+f(t)=0
|
|
y^{''}-6y^'=0,y(0)=5-5e^6,y(1)=0
|
y′ ′ −6y′ =0,y(0)=5−5e6,y(1)=0
|
|
y^{''}-8y^'+5y=0
|
y′ ′ −8y′ +5y=0
|
|
1x^{''}+6x^'-1x=0
|
1x′ ′ +6x′ −1x=0
|
|
6y^{''''}+77y^{''}+25y=0
|
6y′ ′ ′ ′ +77y′ ′ +25y=0
|
|
y^{''}-3y^'+2y=0,y(0)=2,y^'(0)=-6
|
y′ ′ −3y′ +2y=0,y(0)=2,y′ (0)=−6
|
|
y^{''}-7y^'+12y=0,y(0)=1
|
y′ ′ −7y′ +12y=0,y(0)=1
|
|
y^{''}+15y^'+44y=0,y(0)=1,y^'(0)=0
|
y′ ′ +15y′ +44y=0,y(0)=1,y′ (0)=0
|
|
y^{''}+12y^'+36y=0,y(-1)=2,y^'(-1)=5
|
y′ ′ +12y′ +36y=0,y(−1)=2,y′ (−1)=5
|
|
(d^2y)/(dx^2)+2(dy)/(dx)-8y=0
|
d2ydx2 +2dydx −8y=0
|
