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Popular Calculus >

(dy)/(dx)=3x^2+2x-7

Solution

\frac{d y}{d x} = 3 x^{2} + 2 x - 7

Solution

y = x^{3} + x^{2} - 7 x + c_{1}

Solution steps

\frac{d y}{d x} = 3 x^{2} + 2 x - 7

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 3 x^{2} + 2 x - 7

If

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

then

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

y = \int 3 x^{2} + 2 x - 7 d x

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

y = x^{3} + x^{2} - 7 x + c_{1}

Graph

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Frequently Asked Questions (FAQ)

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