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Popular >

y^'=t^2

Solution

y^{^{'}} = t^{2}

Solution

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

Solution steps

y^{'} (t) = t^{2}

If

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

then

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

y = \int t^{2} d t

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

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

Popular Examples

derivative of sqrt(x^2+2x+2)

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

limit as x approaches 2 of sin(2x)

x \to 2 lim (sin (2 x))

integral of sqrt(r^2-x^2)

\int r^{2} - x^{2} d x

\frac{d y}{d x} + y = - 1

\frac{d y}{d x} = 6 - x

Frequently Asked Questions (FAQ)

What is the solution for y^'=t^2 ?
The solution for y^'=t^2 is y=(t^3)/3+c_{1}