|
36y^{''}-132y^'+121y=0,y(0)=5,y^'(0)=5
|
36y′ ′ −132y′ +121y=0,y(0)=5,y′ (0)=5
|
|
y^{'''}-4y^{''}+y^'+3y=0
|
y′ ′ ′ −4y′ ′ +y′ +3y=0
|
|
625y^{''}-9y=0,y(0)=9,y^'(0)=8
|
625y′ ′ −9y=0,y(0)=9,y′ (0)=8
|
|
5/8 (d^2x)/(dt^2)+40x=0
|
58 d2xdt2 +40x=0
|
|
y^{''''}-12y^{''}+36y=0
|
y′ ′ ′ ′ −12y′ ′ +36y=0
|
|
y^{''}+1y^'+0y=0
|
y′ ′ +1y′ +0y=0
|
|
y^{''}+k(1+k)y=0
|
y′ ′ +k(1+k)y=0
|
|
y^{''}+y^'-30y=0,y(0)=1,y^'(0)=38
|
y′ ′ +y′ −30y=0,y(0)=1,y′ (0)=38
|
|
y^{''}+y^'-2y=0,y(0)=1,y^'(0)=-1
|
y′ ′ +y′ −2y=0,y(0)=1,y′ (0)=−1
|
|
y^{''}+4y^'+4y=0,y(0)=5,y^'(0)=-13
|
y′ ′ +4y′ +4y=0,y(0)=5,y′ (0)=−13
|
|
y^{''}-9y^'+6y=0
|
y′ ′ −9y′ +6y=0
|
|
16y^{''}+522.67y=0
|
16y′ ′ +522.67y=0
|
|
(d^2y)/(dt^2)+64y=0
|
d2ydt2 +64y=0
|
|
y^{'''}+6y^{''}-37y^'-90y=0
|
y′ ′ ′ +6y′ ′ −37y′ −90y=0
|
|
9y^{''}+y=0,y(0)=-2,y^'(0)=1
|
9y′ ′ +y=0,y(0)=−2,y′ (0)=1
|
|
solvefor u,(d^2u)/(dx^2)=au(x)
|
solvefor u,d2udx2 =au(x)
|
|
y^{''}-7y^'+8y=0,y(0)=2,y^'(0)=7
|
y′ ′ −7y′ +8y=0,y(0)=2,y′ (0)=7
|
|
y^{''}+3y^'-18y=0,y(0)=3,y^'(0)=18
|
y′ ′ +3y′ −18y=0,y(0)=3,y′ (0)=18
|
|
y^{''}+y=0,y(0)=-1,y^'(0)=6
|
y′ ′ +y=0,y(0)=−1,y′ (0)=6
|
|
y^{''}+6y^'+5y=0,y(0)=3,y^'(0)=-44
|
y′ ′ +6y′ +5y=0,y(0)=3,y′ (0)=−44
|
|
y^{''}+7y^'+16y=0
|
y′ ′ +7y′ +16y=0
|
|
y^{''}+αsqrt(2)y^'+2y=0
|
y′ ′ +α√2y′ +2y=0
|
|
y^{''}-6y^'-2y=0,y(0)=1,y^'(0)=1
|
y′ ′ −6y′ −2y=0,y(0)=1,y′ (0)=1
|
|
(d^2y)/(dx^2)=-36y
|
d2ydx2 =−36y
|
|
y^{''}-6y^'+25y=0,y(0)=-3,y^'(0)=-1
|
y′ ′ −6y′ +25y=0,y(0)=−3,y′ (0)=−1
|
|
y^{''}+100/1 y^'=0
|
y′ ′ +1001 y′ =0
|
|
y^{''}+3y^'+(1+a)y=0
|
y′ ′ +3y′ +(1+a)y=0
|
|
y^{''}=2y+y^'
|
y′ ′ =2y+y′
|
|
linear y^{''''}-y^{''}=0
|
linear y′ ′ ′ ′ −y′ ′ =0
|
|
y^{''}-6y^'+9y=0,y(0)=23,y(1)=0
|
y′ ′ −6y′ +9y=0,y(0)=23,y(1)=0
|
|
y^{'''}-2y^'=0
|
y′ ′ ′ −2y′ =0
|
|
y^{''}+9y=0,y(0)=4,y^'(0)=1
|
y′ ′ +9y=0,y(0)=4,y′ (0)=1
|
|
4y^{''}-2y^'+y=0
|
4y′ ′ −2y′ +y=0
|
|
16y^{''}-8y^'+145y=0,y(0)=1
|
16y′ ′ −8y′ +145y=0,y(0)=1
|
|
16*y^{''}+24*y^'+73*y=0,y(0)=[4]
|
16· y′ ′ +24· y′ +73· y=0,y(0)=[4]
|
|
linear 64y^{''}-81y=0
|
linear 64y′ ′ −81y=0
|
|
y^{''}+4y=0,y(3pi)=-3,y(0)=-3
|
y′ ′ +4y=0,y(3π)=−3,y(0)=−3
|
|
y^{''}-y^'=0,y(0)=0,y^'(0)=0
|
y′ ′ −y′ =0,y(0)=0,y′ (0)=0
|
|
y^{''}-y^'=0,y(0)=0,y^'(0)=1
|
y′ ′ −y′ =0,y(0)=0,y′ (0)=1
|
|
2y^{''}+14y^'+12y=0
|
2y′ ′ +14y′ +12y=0
|
|
4(d^2y)/(dx^2)-4(dy)/(dx)+3y=0
|
4d2ydx2 −4dydx +3y=0
|
|
y^{''}+4y^'+4y=0,y(0)=3,y^'(0)=2
|
y′ ′ +4y′ +4y=0,y(0)=3,y′ (0)=2
|
|
y^{'''}+4y^{''}+y^'-26y=0,y(0)=e^{2x}
|
y′ ′ ′ +4y′ ′ +y′ −26y=0,y(0)=e2x
|
|
y^{''}-2y^'=-4y
|
y′ ′ −2y′ =−4y
|
|
7y^{''}-8y^'+y=0
|
7y′ ′ −8y′ +y=0
|
|
60x^{''}+240x=0,x(0)=0,x^'(0)=-8
|
60x′ ′ +240x=0,x(0)=0,x′ (0)=−8
|
|
4y^{''}+9y^'+9y=0
|
4y′ ′ +9y′ +9y=0
|
|
y^{''}-10y^'-144y=0,y(0)=9,y^'(0)=58
|
y′ ′ −10y′ −144y=0,y(0)=9,y′ (0)=58
|
|
y^{''}+a*y^'-b*y=0
|
y′ ′ +a· y′ −b· y=0
|
|
y^{''}-10y^'+6y=0
|
y′ ′ −10y′ +6y=0
|
|
y^{''}+8y^'+41y=0,y(0)=3,y^'(0)=-8
|
y′ ′ +8y′ +41y=0,y(0)=3,y′ (0)=−8
|
|
4y^{''}+4y^'-8y=0,y(0)=2,y^'(0)=1
|
4y′ ′ +4y′ −8y=0,y(0)=2,y′ (0)=1
|
|
y^{''}+2y^'-8y=0,y(0)=-10,y^'(0)=10
|
y′ ′ +2y′ −8y=0,y(0)=−10,y′ (0)=10
|
|
linear y^{''}-y^'-2y=0
|
linear y′ ′ −y′ −2y=0
|
|
(y^{''}+y)^2=0
|
(y′ ′ +y)2=0
|
|
y^{''}+6y^'+18y=0,y(0)=0,y^'(0)=0
|
y′ ′ +6y′ +18y=0,y(0)=0,y′ (0)=0
|
|
y^{''}-2ky^'+ky=0
|
y′ ′ −2ky′ +ky=0
|
|
y^{'''}-2y^'-13y^'-10y^'=0
|
y′ ′ ′ −2y′ −13y′ −10y′ =0
|
|
y^{''}+2y^'+y=0,y^'(0)=5
|
y′ ′ +2y′ +y=0,y′ (0)=5
|
|
16y^{''}-8y^'+y=0,y(0)=40,y^'(0)=-10
|
16y′ ′ −8y′ +y=0,y(0)=40,y′ (0)=−10
|
|
y^{''}-y^'-ay=0
|
y′ ′ −y′ −ay=0
|
|
(D^4-6D^3+5D^2)y=0
|
(D4−6D3+5D2)y=0
|
|
y^{'''}-24y^{''}+192y^'-512y=0
|
y′ ′ ′ −24y′ ′ +192y′ −512y=0
|
|
y^{''}+4*pi*(y^')/(20)+100*pi^2*y=0
|
y′ ′ +4· π· y′ 20 +100· π2· y=0
|
|
(d^6-4d^4+4d^2)*y=0
|
(d6−4d4+4d2)· y=0
|
|
4y^{'''}-12y^'+9y^'=0
|
4y′ ′ ′ −12y′ +9y′ =0
|
|
y^{''}-y^'-5y=0
|
y′ ′ −y′ −5y=0
|
|
5/8 x^{''}+80x=0
|
58 x′ ′ +80x=0
|
|
(d^2x)/(dt^2)=-4x
|
d2xdt2 =−4x
|
|
(d^2y)/(dx^2)+8(dy)/(dx)+12y=0
|
d2ydx2 +8dydx +12y=0
|
|
(d^2y)/(dx^2)+2(dy)/(dx)+37y=0
|
d2ydx2 +2dydx +37y=0
|
|
25x^{''}+50x^'+169x=0,x(0)=3,x^'(0)=14
|
25x′ ′ +50x′ +169x=0,x(0)=3,x′ (0)=14
|
|
y^{''}-8y^'+16y=0,y(0)=4,y^'(0)=6
|
y′ ′ −8y′ +16y=0,y(0)=4,y′ (0)=6
|
|
y^{''}+128y=0
|
y′ ′ +128y=0
|
|
x^{''}=r^2x
|
x′ ′ =r2x
|
|
y^{''}-8y^'+16y=0,y(0)=4,y^'(0)=7
|
y′ ′ −8y′ +16y=0,y(0)=4,y′ (0)=7
|
|
y^{''}+6y^'+5y=0,y(0)=0
|
y′ ′ +6y′ +5y=0,y(0)=0
|
|
y^{''}+10y^'+9y=0
|
y′ ′ +10y′ +9y=0
|
|
y^{''}-11y^'-28y=0
|
y′ ′ −11y′ −28y=0
|
|
y^{'''}-7y^{''}+11y^'-5y=0
|
y′ ′ ′ −7y′ ′ +11y′ −5y=0
|
|
f^{''}(t)=f(t)
|
f′ ′ (t)=f(t)
|
|
y^{''}-4y^'+5y=1+t,y(0)=0,y^'(0)=4
|
y′ ′ −4y′ +5y=1+t,y(0)=0,y′ (0)=4
|
|
y^{''}-2y+3=0
|
y′ ′ −2y+3=0
|
|
(d+1)^2*y=2e^{-2}x
|
(d+1)2· y=2e−2x
|
|
y^{''}+4y^'+5y=35e^{-4}x
|
y′ ′ +4y′ +5y=35e−4x
|
|
y^{''}+9y=sin^2(t)
|
y′ ′ +9y=sin2(t)
|
|
(d^5-d)y=2x+2^x
|
(d5−d)y=2x+2x
|
|
(d^3+3d^2+2d)y=x^2
|
(d3+3d2+2d)y=x2
|
|
(d^2-2d+1)*y=x*e^x*cos(x)
|
(d2−2d+1)· y=x· ex· cos(x)
|
|
d^2(d^2+1)y=1
|
d2(d2+1)y=1
|
|
y^{'''}+3y^{''}=-36x^2+12x+42
|
y′ ′ ′ +3y′ ′ =−36x2+12x+42
|
|
y^{''}-y^'=e^{2x}*cos(e^x)
|
y′ ′ −y′ =e2x· cos(ex)
|
|
y^{''}+5y^'+4y=8x^2+3+2cos^2(x)
|
y′ ′ +5y′ +4y=8x2+3+2cos2(x)
|
|
y^{''}-3y^'+10y=cosh(2x)
|
y′ ′ −3y′ +10y=cosh(2x)
|
|
(d^2+4)y=tan^2(x)
|
(d2+4)y=tan2(x)
|
|
(d^3-1)*y=e^x
|
(d3−1)· y=ex
|
|
y^{''}+4y=0,y^1(0)=sin^2(x)
|
y′ ′ +4y=0,y1(0)=sin2(x)
|
|
2y^{''}-72y=0
|
2y′ ′ −72y=0
|
|
y^{''}-3y=0,y(0)=1,y^'(0)=5
|
y′ ′ −3y=0,y(0)=1,y′ (0)=5
|
|
u^{''}((x))/x+b^2\H(x)((x))/x =0
|
u′ ′ (x)x +b2H(x)(x)x =0
|
