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Popular >

y^{''}+y^'=7

Solution

y^{^{''}} + y^{^{'}} = 7

Solution

y = c_{1} + c_{2} e^{- t} + 7 t

Solution steps

y^{''} (t) + y^{'} (t) = 7

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + 7 t

y = c_{1} + c_{2} e^{- t} + 7 t

Popular Examples

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

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

y^{^{''}} + y^{^{'}} = 4 x

y^{^{''}} - y^{^{'}} = x^{2}

y^{''}-y=(2e^x)/(e^x+e^{-x)}

y^{^{''}} - y = \frac{2 e ^{x}}{e ^{x} + e ^{- x}}

y^{''}-4y^'+3y=9x^2-36x+37

y^{^{''}} - 4 y^{^{'}} + 3 y = 9 x^{2} - 36 x + 37

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y^'=7 ?
The solution for y^{''}+y^'=7 is y=c_{1}+c_{2}e^{-t}+7t