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2. Solve ty y'(x) + y(x) = y²(x) ( cos x — sin x dP (t) dt jug 3. If a constant number k of fish are harvested from a fishery per unit time, then a model for the population P(t) of the fishery at time t is given by = P(t)(5 – P(t)) — 4, P(0) = Po (a) Solve the IVP. (b) Determine the time when the fishery population becomes extinction 4. Find general solutions of the following ODE (1 + x³)y' = −3x² + sin² x

2. Solve ty y'(x) + y(x) = y²(x) ( cos x — sin x dP (t) dt jug 3. If a constant number k of fish are harvested from a fishery per unit time, then a model for the population P(t) of the fishery at time t is given by = P(t)(5 – P(t)) — 4, P(0) = Po (a) Solve the IVP. (b) Determine the time when the fishery population becomes extinction 4. Find general solutions of the following ODE (1 + x³)y' = −3x² + sin² x

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. Solve y'(x) + y(x) = y²(x) ( cos x - sin x) 3. If a constant number k of fish are harvested from a fishery per unit time, then a model for the population P(t) of the fishery at time t is given by dP(t) dt || P(t)(5 – P(t)) — 4, P(0) = Po (a) Solve the IVP. (b) Determine the time when the fishery population becomes extinction 4. Find general solutions of the following ODE (1+x³)y' = −3x² + sin² a
Transcribed Image Text:2. Solve y'(x) + y(x) = y²(x) ( cos x - sin x) 3. If a constant number k of fish are harvested from a fishery per unit time, then a model for the population P(t) of the fishery at time t is given by dP(t) dt || P(t)(5 – P(t)) — 4, P(0) = Po (a) Solve the IVP. (b) Determine the time when the fishery population becomes extinction 4. Find general solutions of the following ODE (1+x³)y' = −3x² + sin² a
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