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Popular >

(dy)/(dx)=-x^{1/3}

Solution

\frac{d y}{d x} = - x^{\frac{1}{3}}

Solution

y = - \frac{3}{4} x^{\frac{4}{3}} + c_{1}

Solution steps

\frac{d y}{d x} = - x^{\frac{1}{3}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = - x^{\frac{1}{3}}

If

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

then

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

y = \int - x^{\frac{1}{3}} d x

\int - x^{\frac{1}{3}} d x = - \frac{3}{4} x^{\frac{4}{3}} + c_{1}

y = - \frac{3}{4} x^{\frac{4}{3}} + c_{1}

Popular Examples

integral of (sqrt(y^2-64))/y

\int \frac{y ^{2} - 64}{y} d y

integral of ze^y+x^6

\int z e^{y} + x^{6} d y

derivative of sin(xsin(y))

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

3((dy)/(dx))+12y=4

3 (\frac{d y}{d x}) + 12 y = 4

integral of (sin^3(sqrt(x)))/(sqrt(x))

\int \frac{sin ^{3} ( x )}{x} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-x^{1/3} ?
The solution for (dy)/(dx)=-x^{1/3} is y=-3/4 x^{4/3}+c_{1}