Solution Found!
(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(choose chapter or problem)
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: \(y\left( 1 \right) = 4\)