What is the solution for y^{''}-100y=15 ?

The solution for y^{''}-100y=15 is y=c_{1}e^{10t}+c_{2}e^{-10t}-3/20

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y^{''}-100y=15

y^{^{''}} - 100 y = 15

y = c_{1} e^{10 t} + c_{2} e^{- 10 t} - \frac{3}{20}

Solution steps

y^{''} (t) - 100 y = 15

Solve linear ODE:

y = c_{1} e^{10 t} + c_{2} e^{- 10 t} - \frac{3}{20}

y = c_{1} e^{10 t} + c_{2} e^{- 10 t} - \frac{3}{20}

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 7 e^{- t} + 6

y^{^{''}} - y^{^{'}} - 2 y = 2 sin (x)

y^{^{''}} + 16 y = 16 sin (4 x)

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

y^{^{''}} + y = x^{2} + 1, y (0) = 6, y (1) = 0

What is the solution for y^{''}-100y=15 ?
The solution for y^{''}-100y=15 is y=c_{1}e^{10t}+c_{2}e^{-10t}-3/20