Question

II. Use Integrating Factors to solve (i). (3xy - y²)dx + (x² - xy)dy = 0 Solution: (ii). (4xy + 3y² – x)dx + (x² + 2xy)dy = 0 Solution:

          II. Use Integrating Factors to solve
(i). (3xy - y²)dx + (x² - xy)dy = 0
Solution:
(ii). (4xy + 3y² – x)dx + (x² + 2xy)dy = 0
Solution:
        
II. Use Integrating Factors to solve
(i). (3xy - y²)dx + (x² - xy)dy = 0
Solution:
(ii). (4xy + 3y² – x)dx + (x² + 2xy)dy = 0
Solution:

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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II. Use Integrating Factors to solve (i). (3xy-y^(2))dx+(x^(2)-xy)dy=0 (ii). (4xy+3y^(2)-x)dx+(x^(2)+2xy)dy=0 II. Use Integrating Factors to solve (i).(3xy - y2)dx + (x2 - xy)dy = 0 Solution: ii).(4xy+3y2 - x)dx+(x2+2xy)dy=0 Solution:
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Transcript

-
00:01 Hello students in the question it is given that x multiplied by d .y by dx plus 3y equal to sine x divided by x squared provided x greater than 0 and also y of pi by 2 is equal to 1.
00:27 So we have to solve this differential equation using integrating factors.
00:32 Method.
00:33 Dividing the given differential equation with respect, dividing the given differential equation with x, we get d .y by d x plus 3 multiplied by y divided by x equal to sine x divided by x to the power 2.
00:56 We know that integrating factor if is given by e to the power integral p of x...
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