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Popular >

(dy)/(dx)+2=x

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) + 2 = x

Isolate

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

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int x - 2 d x

\int x - 2 d x = \frac{x ^{2}}{2} - 2 x + c_{1}

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

Popular Examples

limit as x approaches 0 of+sin(x)ln(x)

x \to 0 lim (+ sin (x) ln (x))

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

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

derivative of 4cos(x-e^{2x})

\frac{d}{d x} (4 cos (x) - e^{2 x})

derivative of sin^2(x)derivative of

sin^{2} (x)

integral of xe^{x^2+2}

\int x e^{x^{2} + 2} d x

Frequently Asked Questions (FAQ)

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