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Popular >

y^{''}+y^'=8

Solution

y^{^{''}} + y^{^{'}} = 8

Solution

y = c_{1} + c_{2} e^{- t} + 8 t

Solution steps

y^{''} (t) + y^{'} (t) = 8

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + 8 t

y = c_{1} + c_{2} e^{- t} + 8 t

Popular Examples

x^{''}-4x^'+4x=e^tsin(t)

x^{^{''}} - 4 x^{^{'}} + 4 x = e^{t} sin (t)

x^{''}-8x^'+16x=3te^{4t}

x^{^{''}} - 8 x^{^{'}} + 16 x = 3 t e^{4 t}

(d^2y)/(dx^2)+3y^'+2=0

\frac{d ^{2} y}{d x ^{2}} + 3 y^{^{'}} + 2 = 0

(D^2-2D-3)y=e^{3x}+cos(x)

(D^{2} - 2 D - 3) y = e^{3 x} + cos (x)

y^{''}+3y^'+7y=cos(t),y(0)=0,y^'(0)=2

y^{^{''}} + 3 y^{^{'}} + 7 y = cos (t), y (0) = 0, y^{^{'}} (0) = 2

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y^'=8 ?
The solution for y^{''}+y^'=8 is y=c_{1}+c_{2}e^{-t}+8t