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Popular >

(dy)/(dt)-ty=y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

d/(dθ)(r(θ))+r(θ)tan(θ)=tan(θ)

\frac{d}{d θ} (r (θ)) + r (θ) tan (θ) = tan (θ)

(dy)/(dx)=(1+x^2)/(1-y^2),y=0,x=0

\frac{d y}{d x} = \frac{1 + x ^{2}}{1 - y ^{2}}, y = 0, x = 0

f^'(x)+2xf(x)=0,f(0)=3

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

-2y(dy)/(dx)+x^2+2x^4=0

- 2 y \frac{d y}{d x} + x^{2} + 2 x^{4} = 0

(dy)/(dx)=(-0.8)/(cos(y)),y(0)= pi/2

\frac{d y}{d x} = \frac{- 0.8}{cos ( y )}, y (0) = \frac{π}{2}

Frequently Asked Questions (FAQ)

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