Question

The solution of y¢ – y = 1, y(0) = – 1 is given by y(x), which is equal to –

• A. –exp (x)
• B. – exp(– x)
• C. – 1
• D. exp (x) – 2

Answer 1

Answer: (C)

– 1

Answer 2

dy/dx–y = 1 , Here P = –1, Q = 1 I.F.

=$e^{–\int_{}^{}{dx}}$= e^–x Sol. is y.e^–x =$\int_{}^{}e^{–x}dx$

Ž y.e^–x = – e^–x + C …. (i) x = 0, y = – 1

Ž –1 = –1 + C Ž C = 0

From (i) y.e^–x = –e^–x Ž y = –1