Q. 36 F

Solve each of the following initial value problems


Answer :



It is a homogeneous equation


Put y = vx


And


So,






…… (a)





Comparing coefficients of like power of v,


A = 1 …… (1)


B + D = 0 …… (2)


– B + C + D = 0 …… (3)


A + B + C = – 2 …… (4)


Solving eq.(1),(2),(3) and (40,We get,


A = 1,B = – 1 C = – 2,D = 1


Using eq. (a)



log v – log (v + 1) – log() = log xc


log () = log xc


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