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Popular >

y^{''}-y=8

Solution

y^{^{''}} - y = 8

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

y^{''}+y=\H(t)-2\H(t-b/2)+\H(t-b)

y^{^{''}} + y = H (t) - 2 H (t - \frac{b}{2}) + H (t - b)

y^{''}+3y^'-4y=2

y^{^{''}} + 3 y^{^{'}} - 4 y = 2

y^{^{''}} + 4 y = - 5

y^{''}+2y^'+4y=3cos(2t)+4sin(2t)

y^{^{''}} + 2 y^{^{'}} + 4 y = 3 cos (2 t) + 4 sin (2 t)

y^{''}+4y=e^x+x^2+7x

y^{^{''}} + 4 y = e^{x} + x^{2} + 7 x

Frequently Asked Questions (FAQ)

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