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(a) Verify that y is a solution of the ODE. (b) Determine from y the particular solution of the IVP. (c) Graph the solution of the IVP. \(yy' = 4x, \ y^2 - 4x^2 = c (y > 0), y(1) = 4\)

Chapter 1, Problem 12

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QUESTION:

(a) Verify that y is a solution of the ODE.

(b) Determine from y the particular solution of the IVP.

(c) Graph the solution of the IVP.

\(yy' = 4x, \ y^2 - 4x^2 = c (y > 0), y(1) = 4\)

Questions & Answers

QUESTION:

(a) Verify that y is a solution of the ODE.

(b) Determine from y the particular solution of the IVP.

(c) Graph the solution of the IVP.

\(yy' = 4x, \ y^2 - 4x^2 = c (y > 0), y(1) = 4\)

ANSWER:

Step 1 of 5

Given:

The differential equation is given as: \(yy' = 4x\)

The solution of the differential equation is given as: \({y^2} - 4{x^2} = c\left( {y > 0} \right)\)

The value of the solution at \(x = 1\) is given as: \(y\left( 1 \right) = 4\)

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