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Popular >

(dy)/(dx)= 3/(2x^5)

Solution

\frac{d y}{d x} = \frac{3}{2 x ^{5}}

Solution

y = - \frac{3}{8 x ^{4}} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{3}{2 x ^{5}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = \frac{3}{2 x ^{5}}

If

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

then

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

y = \int \frac{3}{2 x ^{5}} d x

\int \frac{3}{2 x ^{5}} d x = - \frac{3}{8 x ^{4}} + c_{1}

y = - \frac{3}{8 x ^{4}} + c_{1}

Popular Examples

integral of 1/(sqrt(-x^2+2x+3))

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

integral of 7/(x(x^4+8))

\int \frac{7}{x ( x ^{4} + 8 )} d x

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

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

tangent of 3/(4x+1)tangent of

\frac{3}{4 x + 1}

derivative of sin^2(2x^2)

\frac{d}{d x} (sin^{2} (2) x^{2})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= 3/(2x^5) ?
The solution for (dy)/(dx)= 3/(2x^5) is y=-3/(8x^4)+c_{1}