The answer is in the video

asked 2021-05-17

Solve the given differential equation by separation of variables: \(\frac{dy}{dx}=x\sqrt{1-y^2}\)

asked 2021-05-10

Solve the equation:

\(\displaystyle{\left({a}-{x}\right)}{\left.{d}{y}\right.}+{\left({a}+{y}\right)}{\left.{d}{x}\right.}={0}\)

\(\displaystyle{\left({a}-{x}\right)}{\left.{d}{y}\right.}+{\left({a}+{y}\right)}{\left.{d}{x}\right.}={0}\)

asked 2021-05-03

Find \(\frac{dy}{dx}\) and \(\frac{d^2y}{dx^2}.x=e^t,y=te^{-t}\). For which values of t is the curve concave upward?

asked 2021-06-07

Find \(\frac{dy}{dx}\) using implicit differentiation \(xe^{y}=x-y\)

asked 2021-05-17

Compute \(\triangle y\) and dy for the given values of x and \(dx=\triangle x\)

\(y=x^2-4x, x=3 , \triangle x =0,5\)

\(\triangle y=???\)

dy=?

\(y=x^2-4x, x=3 , \triangle x =0,5\)

\(\triangle y=???\)

dy=?

asked 2021-05-11

Solve the differential equation by variation of parameters

\(y" + 3y' +2y = \frac{1}{1+e^x}\)

\(y" + 3y' +2y = \frac{1}{1+e^x}\)

asked 2021-05-21

Find an equation of the tangent line to the curve at the given point (9, 3)

\(y=\frac{1}{\sqrt{x}}\)

\(y=\frac{1}{\sqrt{x}}\)

asked 2021-02-09

Solve differential equation \((y2+1)dx=y \sec^2(x)dy\), \(y(0)=0\)

asked 2021-05-29

Solve the given differential equation by separation of variables:

\(\frac{dP}{dt}=P-P^2\)

\(\frac{dP}{dt}=P-P^2\)

asked 2021-03-06