need
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
need help on 3 and 4
Transcribed Image Text:§1.8 BERNOULLI'S EQUATIONS
In problems 1 - 4, solve each Bernoulli equation.
dy
1
+y=
dx
y³ = 1+ cr=³
1. r
dy
2. x
dx
y¹ =
Y
-
3. 2 dy
dx
5. x²)
(1+x)y = xy²
+ y² = xy
I
Inx+c
x
6. 1/2dy
4. 3(1+2²) dy
dx
y³ = 1+ c(1+x²)
C
I
=
= 2xy(y³ - 1)
In problems 5-6, solve the given differential equation subject to the indicated initial condition.
dy
dx
+
- 2xy = 3y¹, y(1): =1/11
49
-+y³/² = 1, y(0) = 4
PROBLEM SET 1.8
Expert Solution
Step 1
We solve given differential equation by using Bernoulli's equation.
First we convert given Bernoulli's equation into first order linear differential equation and then solve it by integrating factor method.
Step by step
Solved in 4 steps with 3 images
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