Q. 25.0( 1 Vote )

# Solve the following differential equations: Given Differential equation is:   ……(1)

Let us assume z = x – y

Differentiating w.r.t x on both sides we get,   ……(2)

Substituting (2) in (1) we get,  Bringing like variables on same side (i.e., variable seperable technique) we get,     We know that cos2z = cos2z – sin2z = 2cos2z – 1 = 1 – 2sin2z.   We know 1 + cot2x = cosec2x  Integrating on both sides we get, We know that:

(1) ∫cosec2x = –cotx + C

(2) (3) ∫adx = ax + C  Since z = x – y substituting this we get, The solution for the given Differential equation is .

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