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Popular >

(dy)/(dx)= 1/2 y+x

Solution

\frac{d y}{d x} = \frac{1}{2} y + x

Solution

y = - 2 x - 4 + c_{1} e^{\frac{x}{2}}

Solution steps

\frac{d y}{d x} = \frac{1}{2} y + x

Solve linear ODE:

y = - 2 x - 4 + c_{1} e^{\frac{x}{2}}

y = - 2 x - 4 + c_{1} e^{\frac{x}{2}}

Popular Examples

derivative of f(x)=(10x)/(1-x)derivative of

f (x) = \frac{10 x}{1 - x}

taylor cos(x)e^x taylor

cos (x) e^{x}

y^{^{''}} = - a

limit as x approaches-3+of x/(x+3)

x \to - 3 + lim (\frac{x}{x + 3})

limit as x approaches 0 of x^3e^{1/x}

x \to 0 lim (x^{3} e^{\frac{1}{x}})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= 1/2 y+x ?
The solution for (dy)/(dx)= 1/2 y+x is y=-2x-4+c_{1}e^{x/2}