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Popular >

y^{''}-y=-1

Solution

y^{^{''}} - y = - 1

Solution

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

Solution steps

y^{''} (t) - y = - 1

Solve linear ODE:

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

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

Popular Examples

y^{''}+10y^'+16=10

y^{^{''}} + 10 y^{^{'}} + 16 = 10

y^{''}+y-cos(2x)=0

y^{^{''}} + y - cos (2 x) = 0

y^{'''}-2y^{''}+10y^'=250e^{5x}

y^{^{'''}} - 2 y^{^{''}} + 10 y^{^{'}} = 250 e^{5 x}

y^{'''}-y^{''}-4y^'+4=0

y^{^{'''}} - y^{^{''}} - 4 y^{^{'}} + 4 = 0

y^{''}-9y=4e^{-5t}

y^{^{''}} - 9 y = 4 e^{- 5 t}

Frequently Asked Questions (FAQ)

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