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Popular >

y^{''}-3y^'=15

Solution

y^{^{''}} - 3 y^{^{'}} = 15

Solution

y = c_{1} e^{3 t} + c_{2} - 5 t

Solution steps

y^{''} (t) - 3 y^{'} (t) = 15

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} - 5 t

y = c_{1} e^{3 t} + c_{2} - 5 t

Graph

Popular Examples

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

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

y^{'''}-y^'=te^{-t}

y^{^{'''}} - y^{^{'}} = t e^{- t}

y^{''}-y^'=tan(x)

y^{^{''}} - y^{^{'}} = tan (x)

y^{''}+4y= 5/2 cos(2x)

y^{^{''}} + 4 y = \frac{5}{2} cos (2 x)

y^{'''}+2y^{''}-y^'-2y=1-4x^3

y^{^{'''}} + 2 y^{^{''}} - y^{^{'}} - 2 y = 1 - 4 x^{3}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-3y^'=15 ?
The solution for y^{''}-3y^'=15 is y=c_{1}e^{3t}+c_{2}-5t