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Popular >

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

Solution

\frac{d y}{d x} - y = e^{3 x}

Solution

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

Solution steps

\frac{d y}{d x} - y = e^{3 x}

Solve linear ODE:

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

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

Popular Examples

tangent of y=x^3-3x+2,(3,20)tangent of

y = x^{3} - 3 x + 2, (3, 20)

integral of (x-1)/(x^2-9)

\int \frac{x - 1}{x ^{2} - 9} d x

integral from 0 to 2 of 3/(x^2)

\int_{0}^{2} \frac{3}{x ^{2}} d x

integral of 4x^3y^3

\int 4 x^{3} y^{3} d x

integral of (y)

\int (y) d y

Frequently Asked Questions (FAQ)

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