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5. Consider the DE (y² with the initial condition y(0) = e (a) (b) cos(x)-3x²y-2x) dx +(2y sin(x) − x³ + ln y) dy = 0 Show all the work to show that this is an exact equation Use the technique discussed in class involving partial integration to solve the DE.

5. Consider the DE (y² with the initial condition y(0) = e (a) (b) cos(x)-3x²y-2x) dx +(2y sin(x) − x³ + ln y) dy = 0 Show all the work to show that this is an exact equation Use the technique discussed in class involving partial integration to solve the DE.

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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5. Consider the DE (y² cos(x) − 3x²y−2x) dx + (2y sin(x) − x³ + ln y) dy = 0 with the initial condition y(0)= e (a) (b) Show all the work to show that this is an exact equation Use the technique discussed in class involving partial integration to solve the DE.
Transcribed Image Text:5. Consider the DE (y² cos(x) − 3x²y−2x) dx + (2y sin(x) − x³ + ln y) dy = 0 with the initial condition y(0)= e (a) (b) Show all the work to show that this is an exact equation Use the technique discussed in class involving partial integration to solve the DE.
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