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Popular >

(dy)/(dx)=sqrt(x)

Solution

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

Solution

y = \frac{2}{3} x^{\frac{3}{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{2}{3} x^{\frac{3}{2}} + c_{1}

y = \frac{2}{3} x^{\frac{3}{2}} + c_{1}

Popular Examples

sum from n=0 to infinity of 2/(n^2)

n = 0 \sum \infty \frac{2}{n ^{2}}

integral from-4 to 2 of (x+4)

\int_{- 4}^{2} (x + 4) d x

area y^2=4x,y=x^2 area

y^{2} = 4 x, y = x^{2}

tangent of 8x^2-2,\at x=-4 tangent of

8 x^{2} - 2, at x = - 4

tangent of x^4+2x^2+3,\at x=-2 tangent of

x^{4} + 2 x^{2} + 3, at x = - 2

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=sqrt(x) ?
The solution for (dy)/(dx)=sqrt(x) is y= 2/3 x^{3/2}+c_{1}