Question

Asked Mar 21, 2019

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Step 1

**First order differential equation:**

A differential equation establishes a relation between function and its derivative. An ordinary differential equation of first order and first degree can be written as,

Step 2

**Solve the differential equation ( du/dt) = **(7 +

The given differential equation is (*du*/*dt*) = (7 + *t*^{4})/(*ut*^{2}+*u*^{4}*t*^{2}).

The differential equation is solved as given below:

Step 3

**Further calculation:**

The solution for the differential equation (*du*/*dt*) = (7 + *t*4)/(*ut*2+*u*4*t*2) is obtained as 5*u*2 + 2*u*5 = (–70/*t*) + (10*t*3)/3 + *c* from t...

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