Arrange the terms of the equation in a linear form and evaluate the quantities P and Q using the formula y = e-SP(x)dx[S Q(x)eS Px)dx dx + c] if the equation is linear in y, and x = e-S P(y)dy[S QCY)eS PG)dydy + C] if it is linear in x. 1) y' +y =; 1+sinx Ans: y = tan + ce-* 1+cosx 2) sin x dy = (cos x – 3y)dx Ans: ytan³=-tan+2 tan-x + C 3) -nydx = e*(x + 1)"+1dx – (x + 1)dy Ans: y = (x + 1)"(e* + c)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Test Yourself 02
E Arrange the terms of the equation in a linear form and evaluate the quantities P and Q
using the formula y = e-SP(x)dx[S Q(x)eS P(x)dx dx + C] if the equation is linear in y,
and x = e-S P(G)dy[S QCv)eS Py)dy dy + C] if it is linear in x.
1+sinx
1) y' + y =
Ans: y = tan + ce-*
1+cosx
2) sin x dy = (cos x – 3y)dx Ans: ytan?=-tan + 2 tan- x + C
3) -nydx = e*(x + 1)"+1dx – (x + 1)dy Ans: y = (x + 1)"(e* + c)
Transcribed Image Text:Test Yourself 02 E Arrange the terms of the equation in a linear form and evaluate the quantities P and Q using the formula y = e-SP(x)dx[S Q(x)eS P(x)dx dx + C] if the equation is linear in y, and x = e-S P(G)dy[S QCv)eS Py)dy dy + C] if it is linear in x. 1+sinx 1) y' + y = Ans: y = tan + ce-* 1+cosx 2) sin x dy = (cos x – 3y)dx Ans: ytan?=-tan + 2 tan- x + C 3) -nydx = e*(x + 1)"+1dx – (x + 1)dy Ans: y = (x + 1)"(e* + c)
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