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Popular >

(dy)/(dx)=(x)

Solution

\frac{d y}{d x} = (x)

Solution

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

Solution steps

\frac{d y}{d x} = (x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int x d x

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

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

Popular Examples

limit as x approaches 0 of+(x^{sin(x)})

x \to 0 lim (+ (x^{s i n (x)}))

y^{''}+18y^'+82y=0

y^{^{''}} + 18 y^{^{'}} + 82 y = 0

integral from 0 to 2 of 2pi(y+1)(1)

\int_{0}^{2} 2 π (y + 1) (1) d y

derivative of f(x)=x^{6/7}derivative of

f (x) = x^{\frac{6}{7}}

tangent of f(x)= 3/(x^{1/2)},(1,3)tangent of

f (x) = \frac{3}{x ^{\frac{1}{2}}}, (1, 3)

Frequently Asked Questions (FAQ)

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