Consider the differential equation:

y'' + 1 y = f(x)

For each choice of the forcing function f(x), indicate the form of the particular solution, without solving for the constants. Example: f(x) = x2 y(x) = A·x2 + B·x + C

f(x) = xe4 x , y(x) = ?

f(x) = cos 5 x , y(x) = ?

f(x) = x sin 3 x , y(x) = ?

f(x) = sin 1 x , y(x) = ?

f(x) = e1 xcos 1 x , y(x) = ?

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35

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step-by-step explanation: