What is the solution for (dy)/(dx)=5x+15y ?

The solution for (dy)/(dx)=5x+15y is y=-(15x+1)/(45)+c_{1}e^{15x}

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(dy)/(dx)=5x+15y

\frac{d y}{d x} = 5 x + 15 y

y = - \frac{15 x + 1}{45} + c_{1} e^{15 x}

Solution steps

\frac{d y}{d x} = 5 x + 15 y

Solve linear ODE:

y = - \frac{15 x + 1}{45} + c_{1} e^{15 x}

y = - \frac{15 x + 1}{45} + c_{1} e^{15 x}

f (x) = \frac{x}{4 x + 3 ln ( x )}

y = \frac{- 4 x ^{2} + 12}{2 x + 2}

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

\frac{d}{d x} (arcsin (e^{- x}))

y = ln (x), x = e, y = 0

What is the solution for (dy)/(dx)=5x+15y ?
The solution for (dy)/(dx)=5x+15y is y=-(15x+1)/(45)+c_{1}e^{15x}