What is the solution for (dy)/(dx)=4x+y,y(0)=9 ?

The solution for (dy)/(dx)=4x+y,y(0)=9 is y=-4(x+1)+13e^x

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(dy)/(dx)=4x+y,y(0)=9

\frac{d y}{d x} = 4 x + y, y (0) = 9

y = - 4 (x + 1) + 13 e^{x}

Solution steps

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

Solve linear ODE:

y = - 4 (x + 1) + 13 e^{x}

y = - 4 (x + 1) + 13 e^{x}

\frac{d}{d x} (x^{16})

y^{^{''}} - 2 y^{^{'}} = sin (x)

\int x^{2} (2 x - 1)^{5} d x

\frac{d}{d x} (cos (x^{6}))

What is the solution for (dy)/(dx)=4x+y,y(0)=9 ?
The solution for (dy)/(dx)=4x+y,y(0)=9 is y=-4(x+1)+13e^x