Solution Found!
Answer: In each of 10 through 15, verify that the given functions y1 and y2 satisfy the
Chapter 3, Problem 11(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. t2 y__ t (t + 2) y_ + (t + 2) y = 2t3, t > 0; y1(t) = t, y2(t) = tet
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. t2 y__ t (t + 2) y_ + (t + 2) y = 2t3, t > 0; y1(t) = t, y2(t) = tet
ANSWER:Step 1 of 3
Given: ,
Consider the equation which is equivalent to
And
Now check if and satisfies the homogeneous equation or not. Now calculate the derivatives of and as:
, , ,
Now put all the above derivatives in equation .
Thus, the values of and satisfies the equation.