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Popular >

y^'=(ty)/2

Solution

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

Solution

y = e^{\frac{t ^{2}}{4} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{t ^{2}}{4} + c_{1}}

y = e^{\frac{t ^{2}}{4} + c_{1}}

Graph

Popular Examples

derivative of (f(x^{-1})(11))=3x^2-6x+2

\frac{d}{d x} ((f (x)^{- 1}) (11)) = 3 x^{2} - 6 x + 2

y^{^{'}} = x^{2} 2^{y}

10 y^{^{'}} + 5 y = 0

(3x^2+2)^3y^'-xy^2=0,y(0)=2

(3 x^{2} + 2)^{3} y^{^{'}} - x y^{2} = 0, y (0) = 2

(dy)/(dx)y=8xarcsin(x)

\frac{d y}{d x} y = 8 x arcsin (x)

Frequently Asked Questions (FAQ)

What is the solution for y^'=(ty)/2 ?
The solution for y^'=(ty)/2 is y=e^{(t^2)/4+c_{1}}