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

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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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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