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Popular >

(dy)/(dx)=(sqrt(2x))

Solution

\frac{d y}{d x} = (2 x)

Solution

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

Solution steps

\frac{d y}{d x} = (2 x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int 2 x d x

\int 2 x d x = 2 x x - \frac{2}{3} x^{\frac{3}{2}} + c_{1}

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

Simplify

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

Popular Examples

limit as x approaches infinity of (4x^2)/(e^{4x)}

x \to \infty lim (\frac{4 x ^{2}}{e ^{4 x}})

(\partial)/(\partial x)(x^3+x^2*x^3-2y^2)

\frac{\partial}{\partial x} (x^{3} + x^{2} \cdot x^{3} - 2 y^{2})

derivative of (x-2/(x^2+1))

\frac{d}{d x} (\frac{x - 2}{x ^{2} + 1})

derivative of-16

\frac{d}{d x} (- 16)

derivative of 5^{tan(5x})

\frac{d}{d x} (5^{t a n (5 x)})

Frequently Asked Questions (FAQ)

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