Identify the type of the differential equation (as linear, homogeneous,exact, separable or Bernoulli) and find its general solutiondxdt = 2x + etx32 .

Question

Identify the type of the differential equation (as linear, homogeneous,exact, separable or Bernoulli) and find its general solutiondxdt = 2x + etx32 .
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Solution 1

The given differential equation is:

dx/dt = 2x + e^(t/x^3/2)

This is a non-linear differential equation because of the term e^(t/x^3/2). It is not homogeneous, exact, separable, or Bernoulli.

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