Q. 115.0( 1 Vote )

Solve the following differential equations:

Given Differential equation is:

……(1)

Let us assume z = x + y

Differentiate w.r.t x on both sides we get,

……(2)

Substitute(2) in (1) we get,

Bringing like variables on same side (i.e., variable seperable technique) we get,

e–zdz = dx

Integrating on both sides we get,

∫e–zdz = ∫dx

We know that:

(1) ∫adx = ax + C

(2)

–e–z = x + C

x + e–z + C = 0

Since z = x + y we substitute this,

x + e–(x + y) + C = 0

The solution for the given Differential Equation is x + e–(x + y) + C = 0.

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