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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int x^{2} d x

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

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

Graph

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(dy)/(dx)=-2xtan(y)

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

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x \to 8 - lim (x - 8)

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t an g e n t f (x) = (e^{2 x} - 4)^{2}, (0, 9)

Frequently Asked Questions (FAQ)

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