Consider the first order separable equation y′=20x^4y(1+3x^5)^1/3. An explicit general solution can be written in the form y=Cf(x) for some function f(x) with C an arbitrary constant. Here f(x)=

Next find the explicit solution of the initial value problem y(0)=3
y= .

The explicit solution of the initial value problem=y=

Step-by-step explanation:

We are given that first order separable equation

Suppose

Differentiate w.r.t x

Substitute the values

+C

By using the formula +C

+C

By using identity :

By using identity :

Where

By compare with y=Cf(x)

We get

We are given that y(0)=3

Substitute the value

Substitute the value

The explicit solution of the initial value problem=y=

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step-by-step explanation: