Differential Equations Assignment.sagews

Differential Equations Assignment

Question 0

Watch the lecture video here.

Did you watch the video? [Type yes or no.]

• Solve the following differential equations for $y$ by hand (bring your paper to class to show me).

• Check your answers using Sage's desolve (if desolve does not solve for $y$, try to use the regular solve command on the output from desolve).

Question 1

$\displaystyle\frac{dy}{dx}=\frac{\sqrt{x}}{e^y}$

Question 2

$\displaystyle\frac{dy}{dx}=y^2\sin(x)$

Question 3

$\displaystyle\frac{dy}{dx}=\ln(x)\sqrt{y}$

Question 4

$\displaystyle\frac{dy}{dx}=xy-4x+5y-20$ [Hint: Factor the right-hand side first.]

Question 5

$\displaystyle (1+x^2)\frac{dy}{dx}=y^3$

This material was developed by Aaron Tresham at the University of Hawaii at Hilo and is
licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.