What is the solution for (dy)/(dx)=0.5y+x ?

The solution for (dy)/(dx)=0.5y+x is y=-4(0.5x+1)+c_{1}e^{0.5x}

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(dy)/(dx)=0.5y+x

\frac{d y}{d x} = 0.5 y + x

y = - 4 (0.5 x + 1) + c_{1} e^{0.5 x}

Solution steps

\frac{d y}{d x} = 0.5 y + x

Solve linear ODE:

y = - 4 (0.5 x + 1) + c_{1} e^{0.5 x}

y = - 4 (0.5 x + 1) + c_{1} e^{0.5 x}

\int \frac{8 x ^{3}}{x ^{4} + 5} d x

x \to 0 - lim (- 1)

f (x) = 8 ln (x) - x^{2}

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

What is the solution for (dy)/(dx)=0.5y+x ?
The solution for (dy)/(dx)=0.5y+x is y=-4(0.5x+1)+c_{1}e^{0.5x}