What is the solution for (dy)/(dx)+4y=3,y(0)=0 ?

The solution for (dy)/(dx)+4y=3,y(0)=0 is y=-(3e^{-4x})/4+3/4

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(dy)/(dx)+4y=3,y(0)=0

\frac{d y}{d x} + 4 y = 3, y (0) = 0

y = - \frac{3 e ^{- 4 x}}{4} + \frac{3}{4}

Solution steps

\frac{d y}{d x} + 4 y = 3

Solve separable ODE:

y = - \frac{3 e ^{- 4 x}}{4} + \frac{3}{4}

y = - \frac{3 e ^{- 4 x}}{4} + \frac{3}{4}

What is the solution for (dy)/(dx)+4y=3,y(0)=0 ?
The solution for (dy)/(dx)+4y=3,y(0)=0 is y=-(3e^{-4x})/4+3/4