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Popular >

y^{''}+3y^'=9

Solution

y^{^{''}} + 3 y^{^{'}} = 9

Solution

y = c_{1} + c_{2} e^{- 3 t} + 3 t

Solution steps

y^{''} (t) + 3 y^{'} (t) = 9

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 t} + 3 t

y = c_{1} + c_{2} e^{- 3 t} + 3 t

Graph

Popular Examples

y^{''}-4y^'=e^{4x}

y^{^{''}} - 4 y^{^{'}} = e^{4 x}

y^{''}-11y^'+24y=280e^t

y^{^{''}} - 11 y^{^{'}} + 24 y = 280 e^{t}

y^{''}+9y=5sec(3x)

y^{^{''}} + 9 y = 5 sec (3 x)

y^{''}-3y^'+2y=(e^{3x})/(e^{2x)+1}

y^{^{''}} - 3 y^{^{'}} + 2 y = \frac{e ^{3 x}}{e ^{2 x} + 1}

y^{''}+10000y=100sin(50x)

y^{^{''}} + 10000 y = 100 sin (50 x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+3y^'=9 ?
The solution for y^{''}+3y^'=9 is y=c_{1}+c_{2}e^{-3t}+3t