Question: A.Use the given integrating factor to find the general solution of the following DE:(7 pts. each) 1. (4x y + 2y' )dx + (3x3 +4xy)dy

A.Use the given integrating factor to find the
A.Use the given integrating factor to find the general solution of the following DE:(7 pts. each) 1. (4x y + 2y' )dx + (3x3 +4xy)dy = 0; IF = xy- 2. (3y' + 5x y)dx + (3xy +2x])dy =0; IF = xy B. Test for exactness and solve: (5 pts. each) 1. (e* + Iny + =) dx + #+ Inx + siny)dy = 0 2. 3y(x - 1)dx + (x] - 3x + By)dy = 0 C. Find the general solution and when initial conditions are given, the corresponding particular solution: (5 pts. each) 1. Linear DE: y - ytanx = 1 2. Bernoulli's Equation: U+y=yer D.Linear Homogeneous DE with Constant Coefficients: 1. D'y = 0; x = 1; y = 2; y =4; y = -2 (6 pts.] 2. (D2 - 2D - 3)y = 0; x = 0; y = 0; y = -4 (5 pts) E. Find W: (x], x], x*) (5 pts.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!