Solution Found!
Solution: In each of 10 through 15, verify that the given functions y1 and y2 satisfy
Chapter 3, Problem 14(choose chapter or problem)
In each of 10 through 15, verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation; then find a particular solution of the given nonhomogeneous equation. In 14 and 15, g is an arbitrary continuous function. x2 y__ + xy_ + ( x2 14 ) y = 3x3/2 sin x, x > 0; y1( x) = x1/2 sin x, y2( x) = x1/2 cos x
Questions & Answers
QUESTION:
In each of 10 through 15, verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation; then find a particular solution of the given nonhomogeneous equation. In 14 and 15, g is an arbitrary continuous function. x2 y__ + xy_ + ( x2 14 ) y = 3x3/2 sin x, x > 0; y1( x) = x1/2 sin x, y2( x) = x1/2 cos x
ANSWER:Step 1 of 5
First check that and satisfy the corresponding homogeneous equation.
Find the derivatives of and .