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Popular >

y^'-2y=x+5

Solution

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

Solution

y = - \frac{x}{2} - \frac{11}{4} + c_{1} e^{2 x}

Solution steps

y^{'} (x) - 2 y = x + 5

Solve linear ODE:

y = - \frac{x}{2} - \frac{11}{4} + c_{1} e^{2 x}

y = - \frac{x}{2} - \frac{11}{4} + c_{1} e^{2 x}

Popular Examples

limit as x approaches (5pi)/2-of sec(x)

x \to \frac{5 π}{2} - lim (sec (x))

integral of y/(z^2)

\int \frac{y}{z ^{2}} d z

derivative of sqrt(\sqrt{x)-1}

\frac{d}{d x} (x - 1)

integral from 2 to 5 of e^{4x}

\int_{2}^{5} e^{4 x} d x

derivative of 5^{-x^2}

\frac{d}{d x} (5^{- x^{2}})

Frequently Asked Questions (FAQ)

What is the solution for y^'-2y=x+5 ?
The solution for y^'-2y=x+5 is y=-x/2-11/4+c_{1}e^{2x}