dy dr Remember to get the differential alone (dy / dx). Apply Bernoulli's Equation, then solve the resulting Differential Equation for "z". At this time, you do not have to go on and solve for "y". A) Ce 2 (B z = 4 + Ce + Ce D z = 1 + Ce E z = 1 + Ce :-1+ (F Ce 2 Z = -

dy dr Remember to get the differential alone (dy / dx). Apply Bernoulli's Equation, then solve the resulting Differential Equation for "z". At this time, you do not have to go on and solve for "y". A) Ce 2 (B z = 4 + Ce + Ce D z = 1 + Ce E z = 1 + Ce :-1+ (F Ce 2 Z = -

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 17E: Find the general solution for each differential equation. Verify that each solution satisfies the...

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Question

Q13

dy
= 1
dx
Remember to get the differential alone (dy / dx). Apply Bernoulli's Equation, then solve the resulting Differential Equation for "z". At
this time, you do not have to go on and solve for "y".
(A)
4
+ Ce
Z = -
(B
z = 4 + Ce
-3
Z = -
+ Ce
4
(D
z = 1+ Ce 2
E
z = 1 + Ce 2
(F
Z = - + Ce

Expert Solution

Step 1

Here, the given differential equation is:

$y^{\frac{1}{2}} \frac{d y}{d x} + y^{\frac{3}{2}} = 1$ ...(1)

which is Bernoulli's equation.Comparing it with $y^{- n} y' + P (x) y^{1 - n} = Q (x)$ ,

$- n = \frac{1}{2} \Rightarrow n = - \frac{1}{2}$

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