What is the solution for ((dy)/(dx))-y=4e^x+24e^{(4x)} ?

The solution for ((dy)/(dx))-y=4e^x+24e^{(4x)} is y=4e^xx+8e^{4x}+c_{1}e^x

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((dy)/(dx))-y=4e^x+24e^{(4x)}

(\frac{d y}{d x}) - y = 4 e^{x} + 24 e^{(4 x)}

y = 4 e^{x} x + 8 e^{4 x} + c_{1} e^{x}

Solution steps

(\frac{d y}{d x}) - y = 4 e^{x} + 24 e^{(4 x)}

Solve linear ODE:

y = 4 e^{x} x + 8 e^{4 x} + c_{1} e^{x}

y = 4 e^{x} x + 8 e^{4 x} + c_{1} e^{x}

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

\int - e^{y} d y

f (x) = ln (x) sin (x)

\frac{d}{d x} ((\frac{x - 6}{x + 7})^{3})

h \to + 0 lim (\frac{( 2 + h ) - 2}{h})

What is the solution for ((dy)/(dx))-y=4e^x+24e^{(4x)} ?
The solution for ((dy)/(dx))-y=4e^x+24e^{(4x)} is y=4e^xx+8e^{4x}+c_{1}e^x