15. The general solution of the differential equation dy !! 2 where k is a positive constant dx is: A. Y 1-k(1+x) B. y 1-C.y 1+D. y 1# 1+x 1+x 1+x dy 16. The general solution of the differential equation e*secy = xcosy dx where k is a positive constant is: A. y e(x-1) #k C. y arctan [ke" (x+1)] B. y-arctan[e (x - 1) + k] D. y arctan [e"(x - 1)]+ k

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Solve Q15, 16 explaining detailly each step

= 2x(y + 1). given that y 1
13. The particular solution of the dilferential equation.
when x 1 is:
%3D
dx
%D
A. y=2ex - 1
14. given that differential equation: cos x
B.y 2e*-C. y 2e* D. y = 2ez - 1
%3D
dy
= y sin x, then
dx
A. y In(secx)+ K
C. In y = secx + K
B. y = sec x +K
D. In y = In(sec x)
15. The general solution of the differential equation
dy
1-y
2 where k is a positive constant
1-
dx
is:
A. Y= 1-k(1+x) B. y 1-C. y 1 +D. y 1
1+x
1+x
16. The general solution of the differential equation e*secy xcosy where k is a positive
dy
dx
constant is:
A. y-e(x-1) +k
C. y arctan [ke" (x+1)]
B. y- arctan[e (x - 1) + k]
D. y = arctan [e*(x - 1)] + k
Transcribed Image Text:= 2x(y + 1). given that y 1 13. The particular solution of the dilferential equation. when x 1 is: %3D dx %D A. y=2ex - 1 14. given that differential equation: cos x B.y 2e*-C. y 2e* D. y = 2ez - 1 %3D dy = y sin x, then dx A. y In(secx)+ K C. In y = secx + K B. y = sec x +K D. In y = In(sec x) 15. The general solution of the differential equation dy 1-y 2 where k is a positive constant 1- dx is: A. Y= 1-k(1+x) B. y 1-C. y 1 +D. y 1 1+x 1+x 16. The general solution of the differential equation e*secy xcosy where k is a positive dy dx constant is: A. y-e(x-1) +k C. y arctan [ke" (x+1)] B. y- arctan[e (x - 1) + k] D. y = arctan [e*(x - 1)] + k
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