Q. 75.0( 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

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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