Let (a) (b) (√x + ²) dr + (y² + ln(2x)) dy=0, x>0. Check that this is an exact differential equation. Solve the equation leaving the general solution in implicit form.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Let
(a)
(b)
(√x+²) dx + (y² + In(2x)) dy=0, x>0.
Check that this is an exact differential equation.
Solve the equation leaving the general solution in implicit form.
Transcribed Image Text:Let (a) (b) (√x+²) dx + (y² + In(2x)) dy=0, x>0. Check that this is an exact differential equation. Solve the equation leaving the general solution in implicit form.
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,