Using method of variation of parameters, solve the differential
equation: y''+y'=e^(2x)
Find the general solution, and particular solution using this
method.
Consider the differential equation:
y'(x)+3xy+y^2=0.
y(1)=0. h=0.1
Solve the differential equation to determine y(1.3)
using:
a. Euler Method
b. Second order Taylor series method
c. Second order Runge Kutta method
d. Fourth order Runge-Kutta method
e. Heun’s predictor corrector method
f. Midpoint method
Solve the following problems.
a) What is the order of the differential equation ? ′ = ? 2 − 3?
− 10? Is it linear ?
b) Determine whether the differential equation ? ′ = ? 2 − 3? −
10 possesses constant solutions. If yes find these constant
solutions.
c) Find the value(s) of ? so that the function ? = ? ?? is a
solution of ? ′′ − 3? ′ − 10? = 0.
Do you think...