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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

y^{''}-4y^'+5y=e^{-t}

y^{^{''}} - 4 y^{^{'}} + 5 y = e^{- t}

x^{''}+16x=160sin(4t)

x^{^{''}} + 16 x = 160 sin (4 t)

(d^2y)/(dx^2)-2(dy)/(dx)-3y=2e^{4x}

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} - 3 y = 2 e^{4 x}

y^{''}+y^'=sec(x)tan(x)

y^{^{''}} + y^{^{'}} = sec (x) tan (x)

y^{''}+4y=t^2+7e^t

y^{^{''}} + 4 y = t^{2} + 7 e^{t}

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}+8t