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Popular >

(dy)/(dt)-2t*y=t

Solution

\frac{d y}{d t} - 2 t \cdot y = t

Solution

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

Solution steps

\frac{d y}{d t} - 2 t \cdot y = t

Solve separable ODE:

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

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

Graph

Popular Examples

(dy)/(dt)=2sqrt(y)sqrt(t),y(1)=7

\frac{d y}{d t} = 2 y t, y (1) = 7

e^{-y}dx+(1+x^2)dy=0

e^{- y} d x + (1 + x^{2}) d y = 0

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

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

(sec(x))/(sin(x))dx= 1/(\H(x))d\H(x)

\frac{sec ( x )}{sin ( x )} d x = \frac{1}{H ( x )} d H (x)

Frequently Asked Questions (FAQ)

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