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 first order non-linear differential equation. It is not linear, not homogeneous, not exact, not separable, and not a Bernoulli equation.

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