You should be able to solve a differential equation that is/can be solved by: ⚫ separable ⚫ linear ⚫ exact ⚫ a substitution (homogenous, Bernoulli's or Ax + By + c) Practice Problems Solve the following differential equations 1.(y²+1)dx = y sec² xdy dy 2. x(x+1)+xy = 1; y(e) = 1 dx 3. dy - y = e² y² 4. (x + y³)dx + 3xy² dy = 0 dy 5. + 2y = 1; y(0) = dt 6.(y²+yx)dx+x² dy = 0 - dy 2xy) = dx =y(y+ sin x); y(0) = 1 7. ( + cos x 1+y2 1-x-y 8. = dx x+4 dy dx 9. (x² - 1) + 2y = (x + 1)²

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Question

please answer question 3 , 5, 7 in full detail explanation 

You should be able to solve a differential equation that
is/can be solved by:
⚫ separable
⚫ linear
⚫ exact
⚫ a substitution (homogenous, Bernoulli's or Ax + By + c)
Practice Problems
Solve the following differential equations
1.(y²+1)dx = y sec² xdy
dy
2. x(x+1)+xy = 1; y(e) = 1
dx
3. dy - y = e² y²
4. (x + y³)dx + 3xy² dy = 0
dy
5. + 2y = 1; y(0) =
dt
6.(y²+yx)dx+x² dy = 0
-
dy
2xy) =
dx
=y(y+ sin x); y(0) = 1
7. (
+ cos x
1+y2
1-x-y
8.
=
dx
x+4
dy
dx
9. (x² - 1) + 2y = (x + 1)²
Transcribed Image Text:You should be able to solve a differential equation that is/can be solved by: ⚫ separable ⚫ linear ⚫ exact ⚫ a substitution (homogenous, Bernoulli's or Ax + By + c) Practice Problems Solve the following differential equations 1.(y²+1)dx = y sec² xdy dy 2. x(x+1)+xy = 1; y(e) = 1 dx 3. dy - y = e² y² 4. (x + y³)dx + 3xy² dy = 0 dy 5. + 2y = 1; y(0) = dt 6.(y²+yx)dx+x² dy = 0 - dy 2xy) = dx =y(y+ sin x); y(0) = 1 7. ( + cos x 1+y2 1-x-y 8. = dx x+4 dy dx 9. (x² - 1) + 2y = (x + 1)²
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