Q. 75.0( 1 Vote )

# Solve the followi

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   We know that cos2z = cos2z – sin2z = 2cos2z – 1   We know that 1 + tan2x = sec2x  Integrating on both sides we get, We know that:

(1) ∫sec2xdx = tanx + C

(2) ∫adx = ax + C Since z = x + y, we substitute this,   the solution for the given differential equation is .

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