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**[SOLVED] simple ODE problem, Bernoulli's Equation**

## Homework Statement

Initial value problem:

Relation: t*y' - 2*[t^2]*sqrt(y) = 4*y

Initial value: y(1) = 4

## Homework Equations

general form of Bernoulli's equation:

y' + a(t)y = b(t)*[y^n]

First order, linear ODE form:

y' + a(t)y = b(t)

## The Attempt at a Solution

My written solution. I first get Bernoulli-type equation into first order/linear form. After that I solve it with the equation y = [1/mu]*Integral[ b(t) * mu dt] (+ constant)

where mu = e^[ Integral[ a(t) dt]

I have tried this multiple times and I get the same answer. When I plug in the solution y = f(t) it does not match the differential equation, (takes some time to show.)

Any help would be great, I obviously am doing something wrong.

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