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Find the solutions for the following differential equations and initial value problems. If a problem can be solved both by methods for linear equations and for separable equations, solve it both ways and compare the answers. (a) dy dt t³ - 2y t dy (b) t +ty=1-y, dt dy (c) t + 2y dt (d) +y dt sint 1+ et y(1) = 0 y (2) = 1

Find the solutions for the following differential equations and initial value problems. If a problem can be solved both by methods for linear equations and for separable equations, solve it both ways and compare the answers. (a) dy dt t³ - 2y t dy (b) t +ty=1-y, dt dy (c) t + 2y dt (d) +y dt sint 1+ et y(1) = 0 y (2) = 1

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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Needed to be solved Part A,B,C and D correctly in 30 minutes and get the thumbs up please show neat and clean work for it please don't copy from Chegg please
! Find the solutions for the following differential equations and initial value problems. If a problem can be solved both by methods for linear equations and for separable equations, solve it both ways and compare the answers. (a) dy dt (b) t +ty=1-y, dt dy dt (c) t (d) du dy (e) (f) dy dt t³ - 2y t +2y= = +y= - sin t 1+ et dy 1²-1 dt y² +1' (g) y+t=0, +3y y(1) = 0 y (2) = 1 y(-1) = 1 t> 0
Transcribed Image Text:! Find the solutions for the following differential equations and initial value problems. If a problem can be solved both by methods for linear equations and for separable equations, solve it both ways and compare the answers. (a) dy dt (b) t +ty=1-y, dt dy dt (c) t (d) du dy (e) (f) dy dt t³ - 2y t +2y= = +y= - sin t 1+ et dy 1²-1 dt y² +1' (g) y+t=0, +3y y(1) = 0 y (2) = 1 y(-1) = 1 t> 0
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