diff. eq

solve: ((e^x)(sin(y))-2ysin(x))dx+((e^x)(cos(y))+2cos(x))dy= 0

Ord. Diff. Eq.

Solve: (1+x)y' = x

Practice questions for Standard Differential Equations

Could you please provide the workings out with explanations for the three standard differential equations below. Please note that the system we are using gives the correct answer on the (comment) line. I have just copied this into the (your answer) line and hence received the green tick, but I need to know the workings out with ...continues

System of Equations

1. Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system. Problem: find out which of the four techniques (the Method of Addition, the Method of Substitution, Gauss-Jordan Elimination, and Cramer's Rule) is used in the majority of these types of software p ...continues

Differential Equation

Which of the following is a solution to the differential equation: ylny + xy' = 0 for x > 0 ? **Please see attachment for multiple choice options

Ode - Convert into System of Differential Equations

Convert {see attachment} into a system of differential equations and classify the resulting system

Ode - Solve the System of Differential Equations

Subject to the conditions x(0) = 0 and y(0) - 1, completely solve the following system of differential equations: {see attachment}

Ode: Equilibrium Points; Linearize

Consider the attached system of differential equations. a. Find the equilibrium points associated with this system b. Linearize the system about each of the equlibrium points you find in part a.

Ode

Please solve the attached problem (subject to the given initial conditions)

Ode (General Solution; Phase Portrait

a. Find the general solution to the attached system of differential equations b. Draw the phase portrait for this system and describe in words what happens to the solution for all initial conditions: {see attachment}