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Popular >

y^{''}+2y^'=3

Solution

y^{^{''}} + 2 y^{^{'}} = 3

Solution

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

Solution steps

y^{''} (t) + 2 y^{'} (t) = 3

Solve linear ODE:

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

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

Popular Examples

derivative of y-3x

\frac{d}{d x} (y - 3 x)

derivative of 2x^3+1/(x^2+16x^{7/2}+5)

\frac{d}{d x} (2 x^{3} + \frac{1}{x ^{2}} + 16 x^{\frac{7}{2}} + 5)

2xy^'+y=6x,y(4)=20

2 x y^{^{'}} + y = 6 x, y (4) = 20

limit as x approaches 6-of (x+9)/(x+6)

x \to 6 - lim (\frac{x + 9}{x + 6})

x^{^{''''}} = 0

Frequently Asked Questions (FAQ)

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