The solutions to the linear differential equation d2u/dt2 = u form a vector space (since combinations of solutions are still solutions). find two independent solutions, to give a basis for that solution space.

Serious high school. This is one of the few differential equations I can solve.

The usual particular solution is because is its own derivative.

An independent solution is which has a negative sign in the first derivative which turns back to positive in the second.

The arbitrary linear combination spans the solution space:

But we only are asked for the basis.

93.8

step-by-step explanation:

lets say, first number = x

second number = 3x+7

total = 49

(x)+(3x+7)= 49

4x+7 = 49

4x = 42

x = 42/4

x= 10.5

x= 10.5

3x+7 = 3(10.5)+7 = 93.8

hope this

d. vertex

step-by-step explanation: