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Popular >

2y^{''}-6y^'=5

Solution

2 y^{^{''}} - 6 y^{^{'}} = 5

Solution

y = c_{1} e^{3 t} + c_{2} - \frac{5 t}{6}

Solution steps

2 y^{''} (t) - 6 y^{'} (t) = 5

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} - \frac{5 t}{6}

y = c_{1} e^{3 t} + c_{2} - \frac{5 t}{6}

Graph

Popular Examples

y^{'''}-y^{''}+y^'-y=e^{-x}sin(x)

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = e^{- x} sin (x)

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

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

y^{''}+4y^'+4y=2x+5

y^{^{''}} + 4 y^{^{'}} + 4 y = 2 x + 5

y^{'''}-2y^'+4y=e^xcos(x)+x^2+sin(2x)

y^{^{'''}} - 2 y^{^{'}} + 4 y = e^{x} cos (x) + x^{2} + sin (2 x)

y^{''}-2y^'+y=2xe^x

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

Frequently Asked Questions (FAQ)

What is the solution for 2y^{''}-6y^'=5 ?
The solution for 2y^{''}-6y^'=5 is y=c_{1}e^{3t}+c_{2}-(5t)/6