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Popular Calculus >

(dy)/(dx)=x^4-1

Solution

\frac{d y}{d x} = x^{4} - 1

Solution

y = \frac{x ^{5}}{5} - x + c_{1}

Solution steps

\frac{d y}{d x} = x^{4} - 1

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x^{4} - 1

If

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

then

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

y = \int x^{4} - 1 d x

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

y = \frac{x ^{5}}{5} - x + c_{1}

Graph

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Frequently Asked Questions (FAQ)

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