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Popular >

y^{''}+3y^'=12

Solution

y^{^{''}} + 3 y^{^{'}} = 12

Solution

y = c_{1} + c_{2} e^{- 3 t} + 4 t

Solution steps

y^{''} (t) + 3 y^{'} (t) = 12

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 t} + 4 t

y = c_{1} + c_{2} e^{- 3 t} + 4 t

Popular Examples

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limit as x approaches 4+of (x-4)/(4x-4)

x \to 4 + lim (\frac{x - 4}{4 x - 4})

integral of (t^4)/(sqrt(1-t^{10))}

\int \frac{t ^{4}}{1 - t ^{10}} d t

integral of x^5*sin(x)

\int x^{5} \cdot sin (x) d x

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+3y^'=12 ?
The solution for y^{''}+3y^'=12 is y=c_{1}+c_{2}e^{-3t}+4t