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Use the technique of separation of variables to solve the following IVPS or ODES. If it is an ODE, give a general If it is an IVP, give the particular solution, and give the maximum interval of validity. (c) = 4(x² +1), x(π/4) = 1 solution. (a) du = √x+4 y (0) = 5 > (b) ² = P - p² dt

Use the technique of separation of variables to solve the following IVPS or ODES. If it is an ODE, give a general If it is an IVP, give the particular solution, and give the maximum interval of validity. (c) = 4(x² +1), x(π/4) = 1 solution. (a) du = √x+4 y (0) = 5 > (b) ² = P - p² dt

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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Use the technique of separation of variables to solve the following IVPS or ODES. If it is an ODE, give a general solution. If it is an IVP, give the particular solution, and give the maximum interval of validity. (c) dx = 4(x²+1), x(π/4) = 1 (a) du = √x +4 > y (0) = 5 (b) ² = P - p² dt
Transcribed Image Text:Use the technique of separation of variables to solve the following IVPS or ODES. If it is an ODE, give a general solution. If it is an IVP, give the particular solution, and give the maximum interval of validity. (c) dx = 4(x²+1), x(π/4) = 1 (a) du = √x +4 > y (0) = 5 (b) ² = P - p² dt
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