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Popular >

(dy)/(dt)=ty+t

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)= 1/2 x+4

\frac{d y}{d x} = \frac{1}{2} x + 4

(dy)/(dx)+xy= x/(y^3)

\frac{d y}{d x} + x y = \frac{x}{y ^{3}}

integral of 7/(x^2-6x+25)

\int \frac{7}{x ^{2} - 6 x + 25} d x

area x^2+2x,1,2 area

x^{2} + 2 x, 1, 2

integral from-2 to 2 of (16)/(x^2-4x-60)

\int_{- 2}^{2} \frac{16}{x ^{2} - 4 x - 60} d x

Frequently Asked Questions (FAQ)

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