Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. 36y'' − y = xex/6

The homogeneous ODE

has characteristic equation

with roots at , and admits two linearly independent solutions,

as the Wronskian is

Variation of parameters has us looking for solutions of the form

such that

We have

and we get

The general solution is

The initial conditions tell us

so that the particular solution is

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*

answer: x=3 and y=4

step-by-step explanation: