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katen-ka-za [31]
3 years ago
13

Determine whether the given function is a solution to the given differential equation.

Mathematics
1 answer:
Anarel [89]3 years ago
5 0

Answer:

It is only 1 and 2 that is the solution to the differential equation

Step-by-step explanation:

1. x''=- 2 Cos t+ 3 sin t and x=2 cos t -3 sin t the addition give 0

2. d^2y/dx^2=- Sin x +2 and y =Sin x +x^2 the addition =x^2+2

but

3. dx/dt= -2 Sin 2t and tx =t Cos 2t =t( 2Cos t - 2 Sin t) the addition it can't equal Sin 2t

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The graph shows the functions f(x), p(x), and g(x):
Sidana [21]
The function f(x) is:

f(x)=x

This is because the line f(x) passes through the points (-1,-1), (0,0), (1,1) etc.

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p(x)=mx+C

Whereby (m) is the slope and (C) is a constant.

m=-4/3, as m=tan(ω)=O/A=-4/3 as slope is negative.

Now when y=-3, x=-3.

So:

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