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Popular >

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

Solution

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

Solution

y = \frac{e ^{2 x}}{3} + \frac{c _{1}}{e ^{x}}

Solution steps

y^{'} (x) + y = e^{2 x}

Solve linear ODE:

y = \frac{e ^{2 x}}{3} + \frac{c _{1}}{e ^{x}}

y = \frac{e ^{2 x}}{3} + \frac{c _{1}}{e ^{x}}

Popular Examples

derivative of sqrt(x)+5/(sqrt(x))derivative of

x + \frac{5}{x}

integral of (x^2-1)^2(3x^2)

\int (x^{2} - 1)^{2} (3 x^{2}) d x

(dx)/(dy)=e^{3x+2y}

\frac{d x}{d y} = e^{3 x + 2 y}

derivative of x/(x+16)

\frac{d}{d x} (\frac{x}{x + 16})

limit as x approaches 3 of 0/(x-3)

x \to 3 lim (\frac{0}{x - 3})

Frequently Asked Questions (FAQ)

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