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Popular >

y^'+y=e^x

Solution

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

Solution

y = \frac{e ^{x}}{2} + \frac{c _{1}}{e ^{x}}

Solution steps

y^{'} (x) + y = e^{x}

Solve linear ODE:

y = \frac{e ^{x}}{2} + \frac{c _{1}}{e ^{x}}

y = \frac{e ^{x}}{2} + \frac{c _{1}}{e ^{x}}

Popular Examples

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e^{t} t

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\int \frac{1 - cos ( x )}{csc ^{2} ( x )} d x

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\frac{d}{d x} ((8 x + 3)^{2})

derivative of (3x^4+1^3)

\frac{d}{d x} ((3 x^{4} + 1)^{3})

integral of sec^2(x)tan(x)

\int sec^{2} (x) tan (x) d x

Frequently Asked Questions (FAQ)

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