   Chapter 12.5, Problem 1E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 1-4, show that the given function is a solution to the differential equation. 1.   y = x 2 ;        4 y − 2 x y ' = 0

To determine

To prove: The function y=x2 is a solution to the differential equation 4y2xy=0.

Explanation

Given Information:

The provided function is y=x2 and the differential equation is 4y2xy=0.

Formula used:

Power rule of derivative is ddx(xn)=nxn1, where n is a real number.

Proof:

Consider the function, y=x2

Differentiate both sides with respect to x,

dydx=ddx(x2)y=2x21=2x

Consider the differential equation, 4y2xy

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