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Q2:al Use separation of variables to find the solution of the following Initial Value Problems. Write your answer in explicit form and simplify as much as possible: 2x 2t y + 1 1) y'= = . with y(0) = = -2_2) y' dy 3) = 20yx, with y(0) = 4 dx t²y + y J with y(1) = 2

Q2:al Use separation of variables to find the solution of the following Initial Value Problems. Write your answer in explicit form and simplify as much as possible: 2x 2t y + 1 1) y'= = . with y(0) = = -2_2) y' dy 3) = 20yx, with y(0) = 4 dx t²y + y J with y(1) = 2

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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Q2:al Use separation of variables to find the solution of the following Initial Value Problems. Write your answer in explicit form and simplify as much as possible: 2t 2x 1) y' = y + 1 . with y(0) = -2 2) y'= = dy 3)- = 20yx4, with y(0) = 4 t²y + y J with y(1) = 2 dx dp bl A field mouse population satisfies the Initial Value Problem: P = 0.5p - 400. p(0) = 600. (a) Find the time at which the population becomes extinct (p = 0). di (b) Find the time at which the population becomes extinct (p = 0) if the initial condition is p(0) = 800.
Transcribed Image Text:Q2:al Use separation of variables to find the solution of the following Initial Value Problems. Write your answer in explicit form and simplify as much as possible: 2t 2x 1) y' = y + 1 . with y(0) = -2 2) y'= = dy 3)- = 20yx4, with y(0) = 4 t²y + y J with y(1) = 2 dx dp bl A field mouse population satisfies the Initial Value Problem: P = 0.5p - 400. p(0) = 600. (a) Find the time at which the population becomes extinct (p = 0). di (b) Find the time at which the population becomes extinct (p = 0) if the initial condition is p(0) = 800.
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