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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of xcos(x/2)

\int x cos (\frac{x}{2}) d x

((x-y))/((x+2y))=(dy)/(dx)

\frac{( x - y )}{( x + 2 y )} = \frac{d y}{d x}

y^{'} = y^{2} - 4

(x^2+4)((dy)/(dx))=xy

(x^{2} + 4) (\frac{d y}{d x}) = x y

integral of x^3sqrt(x^2+40)

\int x^{3} x^{2} + 40 d x

Frequently Asked Questions (FAQ)

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