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Popular >

(dy)/(dt)=t^2

Solution

\frac{d y}{d t} = t^{2}

Solution

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

Solution steps

\frac{d y}{d t} = t^{2}

Substitute

\frac{d y}{d t}

with

y^{'} (t)

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 y=(csc(x^2))/(7x-cos^2(x))derivative of

y = \frac{csc ( x ^{2} )}{7 x - cos ^{2} ( x )}

laplacetransform 2t^2e^t laplace transform

2 t^{2} e^{t}

(d^3)/(dx^3)(e^{x^2})

\frac{d ^{3}}{d x ^{3}} (e^{x^{2}})

integral of x/((1-x^2)^{3/2)}

\int \frac{x}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

(\partial)/(\partial y)(x/(sqrt(x^2+y^2)))

\frac{\partial}{\partial y} (\frac{x}{x ^{2} + y ^{2}})

Frequently Asked Questions (FAQ)

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