Find an answer to any Differential equations problem - PlainMath

Differential equations

asked 2021-02-10

\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={\frac{{{x}{y}+{3}{x}-{y}-{3}}}{{{x}{y}-{2}{x}+{4}{y}-{8}}}}\)
Solve it using variable separation

Differential equations

asked 2021-01-27

Population y grows according to the equation dy/dt = ky, where is a constant and t is measured in years. Of the population doubles every ten years, then the value of k is ?

Differential equations

asked 2021-01-10

The problem question is:
\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{t}\right.}}}}={a}{y}+{b}{y}^{{2}}\)
we have to sketch the graph f(y) versus y, determine the critical points, and classify each one as asymptotically stable or unstable.Thing is, how do you get the critical points?

Differential equations

asked 2021-01-08

solve the initial value problem: \(\displaystyle{\left({\tan{{\left({y}\right)}}}-{2}\right)}{\left.{d}{x}\right.}+{\left({x}{{\sec}^{{2}}{\left({y}\right)}}+\frac{{1}}{{y}}\right)}{\left.{d}{y}\right.}={0}\), y(0)=1

Differential equations

asked 2021-01-02

Find dw/dt using the appropriate Chain Rule. Evaluate \(\frac{dw}{dt}\) at the given value of t. Function: \(w=x\sin y,\ x=e^t,\ y=\pi-t\) Value: t = 0

Differential equations

asked 2020-12-01

Given that, \(\displaystyle{y}^{{{\sin{{x}}}}}={x}^{{{{\cos}^{{{2}}}{x}}}},{f}\in{d}:{\frac{{{\left.{d}{x}\right.}}}{{{\left.{d}{y}\right.}}}}\)

Differential equations

asked 2020-11-10

Obtain the Differential equations: parabolas with vertex and focus on the x-axis.

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