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Popular >

y^{''}+ay^'=0

Solution

y^{^{''}} + a y^{^{'}} = 0

Solution

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

Solution steps

y^{''} (t) + a y^{'} (t) = 0

Solve linear ODE:

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

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

Popular Examples

integral of 12cos(3x)

\int 12 cos (3 x) d x

integral of 1+sec(x)

\int 1 + sec (x) d x

integral of (x-y^3+y^2sin(x))

\int (x - y^{3} + y^{2} sin (x)) d x

integral of 1/(sqrt(-x^2+2x+15))

\int \frac{1}{- x ^{2} + 2 x + 15} d x

inverse oflaplace 6/s+(32)/(s^2+16)inverse laplace

\frac{6}{s} + \frac{32}{s ^{2} + 16}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+ay^'=0 ?
The solution for y^{''}+ay^'=0 is y=c_{1}+c_{2}e^{-at}