the differntial eqaution dy/dx=x+2y with an initial condition (0,0). the exact solution to this differential equation is y=(0.25x^2x)-0.5x-0.25. b) use euler's method with h=0.02 to approximate the solution at x=0.25, x=0.5, x=0.75, and x=1
answer the following about the differntial eqaution dy/dx=x+2y with an initial condition (0,0). the exact solution to this differential equation is y=(0.25x^2x)-0.5x-0.25.
b) use euler's method with h=0.02 to approximate the solution at x=0.25, x=0.5, x=0.75, and x=1
The differential equation give is as follows:
We have to solve the above initial value differential problem using Euler's method with step size, .
Note: Since you have asked multiple questions, we will solve only the first question for , the method provided in the solution is the same for the other questions as well. If you want any particular question to be answered, mention the question number or post only that question.
Euler's method states that,
, where .............................(1)
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