Y"+4y = 8 sin 2x. trial solution using annihilator technique
linear algebra and differential equations
i am so confused why would you multiple by x up(x)

A second order linear, non - homogeneous ODE has a form of

The general solution to,

Can be written as,

Where is a solution to the homogeneous ODE and the particular solution, function that satisfies the non - homogeneous equation.

We can solve by rewriting the equation,

Which simplifies to,

From here we get two solutions,

So the form here refines,

The same thing we do with to get form of,

From here the final form emerges,

Hope this helps.

r3t40

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.