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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

y^{''}-5y^'+6y=4xe^{2x},y^1(0)=e^{2x}

y^{^{''}} - 5 y^{^{'}} + 6 y = 4 x e^{2 x}, y^{1} (0) = e^{2 x}

y^{''}-5y^'+6y=t,y(0)=0,y^'(0)=1

y^{^{''}} - 5 y^{^{'}} + 6 y = t, y (0) = 0, y^{^{'}} (0) = 1

y^{'''}+18y^{''}+108y^'+216y=e^{-6x}

y^{^{'''}} + 18 y^{^{''}} + 108 y^{^{'}} + 216 y = e^{- 6 x}

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

2 \cdot y + 2 \cdot y^{^{'}} + y^{^{''}} = e^{- x} cos (x)

9y^{''}+2y^'-y=15

9 y^{^{''}} + 2 y^{^{'}} - y = 15

Frequently Asked Questions (FAQ)

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