What is the solution for (dy)/(dx)+y=e^{2x} ?

The solution for (dy)/(dx)+y=e^{2x} is y=(e^{2x})/3+(c_{1})/(e^x)

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

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

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

Solution steps

\frac{d y}{d 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}}

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

\frac{d}{d x} (\frac{3 x - 9}{x + 5})

\int (π - x) \cdot cos (n x) d x

\int \frac{x ^{2}}{( x ^{3} - 5 ) ^{2}} d x

\frac{d y}{d x} = - \frac{1}{x}

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