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2. 3. Find the solution of the initial value problem t 4. dy=y+t² sint, y(n)=0. dt Solve the initial value problem e* - dy-x=x¹, y(0)=1. Solve for y(x) explicitly! dx Find the solution of the initial value problem y"+y'-2y = 0, y(0) = 0, y'(0)=1. 5.₁ Given (1-1)y+ty'-y=0. Show {t, e'} forms a fundamental set of solutions to the above differential equation and write down the general solution.

2. 3. Find the solution of the initial value problem t 4. dy=y+t² sint, y(n)=0. dt Solve the initial value problem e* - dy-x=x¹, y(0)=1. Solve for y(x) explicitly! dx Find the solution of the initial value problem y"+y'-2y = 0, y(0) = 0, y'(0)=1. 5.₁ Given (1-1)y+ty'-y=0. Show {t, e'} forms a fundamental set of solutions to the above differential equation and write down the general solution.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. 3. Find the solution of the initial value problem t dy=y+t² sint, y(7)=0. dt 4. Solve the initial value problem e dy_x=x², y(0)=1. Solve for y(x) explicitly! dx Find the solution of the initial value problem y"+y'-2y = 0, y(0) = 0, y'(0)=1. 5.. Given (1-1)y"+ty' - y =0. Show {t, e'} forms a fundamental set of solutions to the above differential equation and write down the general solution.
Transcribed Image Text:2. 3. Find the solution of the initial value problem t dy=y+t² sint, y(7)=0. dt 4. Solve the initial value problem e dy_x=x², y(0)=1. Solve for y(x) explicitly! dx Find the solution of the initial value problem y"+y'-2y = 0, y(0) = 0, y'(0)=1. 5.. Given (1-1)y"+ty' - y =0. Show {t, e'} forms a fundamental set of solutions to the above differential equation and write down the general solution.
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