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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

limit as x approaches 0 of 1-1/(x^2)

x \to 0 lim (1 - \frac{1}{x ^{2}})

limit as x approaches 3 of ((x^2-2x-3))/(x^2-9)

x \to 3 lim (\frac{( x ^{2} - 2 x - 3 )}{x ^{2} - 9})

y^'(x^2+2)+4x(y^2+2y+1)=0

y^{^{'}} (x^{2} + 2) + 4 x (y^{2} + 2 y + 1) = 0

derivative of (1+cos(5t))^{-4}derivative of

(1 + cos (5 t))^{- 4}

derivative of (x^2+2/x)

\frac{d}{d x} (\frac{x ^{2} + 2}{x})

Frequently Asked Questions (FAQ)

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