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Popular >

y^'=3x^2+1

Solution

y^{^{'}} = 3 x^{2} + 1

Solution

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

Solution steps

y^{'} (x) = 3 x^{2} + 1

If

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

then

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

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

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

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

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Frequently Asked Questions (FAQ)

What is the solution for y^'=3x^2+1 ?
The solution for y^'=3x^2+1 is y=x^3+x+c_{1}