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Popular >

(dy)/(dx)=4(x^2+1)

Solution

\frac{d y}{d x} = 4 (x^{2} + 1)

Solution

y = 4 (\frac{x ^{3}}{3} + x) + c_{1}

Solution steps

\frac{d y}{d x} = 4 (x^{2} + 1)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 4 (x^{2} + 1)

If

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

then

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

y = \int 4 (x^{2} + 1) d x

\int 4 (x^{2} + 1) d x = 4 (\frac{x ^{3}}{3} + x) + c_{1}

y = 4 (\frac{x ^{3}}{3} + x) + c_{1}

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

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\int (x^{2} + 2 x) e^{3 x + 2} d x

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

Frequently Asked Questions (FAQ)

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