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Popular >

(dy)/(dx)=-7x^2

Solution

\frac{d y}{d x} = - 7 x^{2}

Solution

y = - \frac{7 x ^{3}}{3} + c_{1}

Solution steps

\frac{d y}{d x} = - 7 x^{2}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = - 7 x^{2}

If

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

then

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

y = \int - 7 x^{2} d x

\int - 7 x^{2} d x = - \frac{7 x ^{3}}{3} + c_{1}

y = - \frac{7 x ^{3}}{3} + c_{1}

Graph

Popular Examples

limit as x approaches 0 of (x^4)/(x^4)

x \to 0 lim (\frac{x ^{4}}{x ^{4}})

t^2y^{''}+4ty^'-10y=0

t^{2} y^{^{''}} + 4 t y^{^{'}} - 10 y = 0

integral of 1/(xsqrt(9x^2-7))

\int \frac{1}{x 9 x ^{2} - 7} d x

limit as x approaches 3 of x^2+2

x \to 3 lim (x^{2} + 2)

integral of \sqrt[3]{by^2}

\int 3 b y^{2} d y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-7x^2 ?
The solution for (dy)/(dx)=-7x^2 is y=-(7x^3)/3+c_{1}