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Popular >

y^'=t^2y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

y^{^{'}} = y + 2

integral of (((ln(x))^5))/x

\int \frac{( ( ln ( x ) ) ^{5} )}{x} d x

xln(x)y^'+y=2ln(x)

x ln (x) y^{^{'}} + y = 2 ln (x)

integral from 1/2 to 5 of 8xln(2x)

\int_{\frac{1}{2}}^{5} 8 x ln (2 x) d x

(\partial)/(\partial x)((-6x+1y)/(-8x-1y))

\frac{\partial}{\partial x} (\frac{- 6 x + 1 y}{- 8 x - 1 y})

Frequently Asked Questions (FAQ)

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