What is the solution for (dy)/(dx)=x+5y,y(0)=3 ?

The solution for (dy)/(dx)=x+5y,y(0)=3 is y=-(5x+1)/(25)+76/25 e^{5x}

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(dy)/(dx)=x+5y,y(0)=3

\frac{d y}{d x} = x + 5 y, y (0) = 3

y = - \frac{5 x + 1}{25} + \frac{76}{25} e^{5 x}

Solution steps

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

Solve linear ODE:

y = - \frac{5 x + 1}{25} + \frac{76}{25} e^{5 x}

y = - \frac{5 x + 1}{25} + \frac{76}{25} e^{5 x}

x \to 0 lim (cos^{\frac{3}{x ^{2}}} (2 x))

\frac{d y}{d x} = y^{2}

f (x) = \frac{6}{3 x + 1}, at a = - 1

\int \frac{x}{1 + x} d x

\frac{d}{d x} (- \frac{1}{4 x ^{4}})

What is the solution for (dy)/(dx)=x+5y,y(0)=3 ?
The solution for (dy)/(dx)=x+5y,y(0)=3 is y=-(5x+1)/(25)+76/25 e^{5x}