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Problem #1: Using the fact that y1(x)=ex is solution of the second order linear homogeneous DE (9+8x)y′′−8y′−(1+8x)y=0,
Posted: Wed Jul 13, 2022 5:08 am
by answerhappygod
- Problem 1 Using The Fact That Y1 X Ex Is Solution Of The Second Order Linear Homogeneous De 9 8x Y 8y 1 8x Y 0 1 (59.83 KiB) Viewed 24 times
Problem #1: Using the fact that y1(x)=ex is solution of the second order linear homogeneous DE (9+8x)y′′−8y′−(1+8x)y=0, find a second linearly independent solution y2(x) using the method of reduction of order (Do NOT enter y2(x) a part of your answer) and then find the unique solution of the above DE satisfying the initial conditions y(0)=−22,y′(0)=14 Enter your answer as a symbolic function of x, as in these not include ' y(x)= ' in your answer. Problem #1: ∣ examples Problem #2: Use the method of variation of parameters to find a particular solution to the following differential equation y′′+100y=csc10x, for 0<x<10π Problem #2: Enter your answer as a symbolic function of x, as in these Do not include ' y= ' in your answer. examples