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Popular Calculus >

(dy)/(dx)=0.5-x+2y

Solution

\frac{d y}{d x} = 0.5 - x + 2 y

Solution

y = \frac{x}{2} + c_{1} e^{2 x}

Solution steps

\frac{d y}{d x} = 0.5 - x + 2 y

Solve linear ODE:

y = \frac{x}{2} + c_{1} e^{2 x}

y = \frac{x}{2} + c_{1} e^{2 x}

Graph

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\int \frac{e ^{8 x}}{e ^{5 x}} d x

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s l o p e (0, - 6), (5, - 3)

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=0.5-x+2y ?
The solution for (dy)/(dx)=0.5-x+2y is y= x/2+c_{1}e^{2x}