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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

tangent of f(x)=6x-x^2,\at x=4 tangent of

f (x) = 6 x - x^{2}, at x = 4

derivative of (x-5sin(x))

\frac{d}{d x} ((x - 5) sin (x))

sum from n=0 to infinity of 1/(1.5^n)

n = 0 \sum \infty \frac{1}{1. 5 ^{n}}

integral of-x^2-2x

\int - x^{2} - 2 x d x

integral of 1/(e^{6x)}

\int \frac{1}{e ^{6 x}} d x

Frequently Asked Questions (FAQ)

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