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Popular >

(D+3)y=x+1

Solution

(D + 3) y = x + 1

Solution

y = c_{1} e^{- 3 x} + \frac{x}{3} + \frac{2}{9}

Solution steps

(D + 3) y = x + 1

Solve linear ODE:

y = c_{1} e^{- 3 x} + \frac{x}{3} + \frac{2}{9}

y = c_{1} e^{- 3 x} + \frac{x}{3} + \frac{2}{9}

Popular Examples

y^{''}-y=((4e^{-x}))/((1-e^{-2x))}

y^{^{''}} - y = \frac{( 4 e ^{- x} )}{( 1 - e ^{- 2 x} )}

y^{''}-4y^'+4y=10x+2

y^{^{''}} - 4 y^{^{'}} + 4 y = 10 x + 2

2y^{''}+y=9e^{2x}

2 y^{^{''}} + y = 9 e^{2 x}

y^{''}-3y^'=27x^2

y^{^{''}} - 3 y^{^{'}} = 27 x^{2}

4y^{''}+324y=8sin(t)

4 y^{^{''}} + 324 y = 8 sin (t)

Frequently Asked Questions (FAQ)

What is the solution for (D+3)y=x+1 ?
The solution for (D+3)y=x+1 is y=c_{1}e^{-3x}+x/3+2/9