Answer:
Wite the PM tuntipn used. D. 054/9/12, 3600,- (T-
119013
b. What mortgage amount can she borrow? $ 120,000
Step-by-step explanation:
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
Answer:
x = 7
y = 3/2 or 1.5 (IF THE ANGLE IS 30 BY THE RATIOS OF A RIGHT TRIANGLE.)
hope it's right
Step-by-step explanation:
FOR X:
Let's solve your equation step-by-step.
4x+3=31
Step 1: Subtract 3 from both sides.
4x+3−3=31−3
4x=28
Step 2: Divide both sides by 4.
4x/4=28/4
x=7
FOR Y:
Step 1: Simplify both sides of the equation.
(3)(7)+6y=30
21+6y=30
6y+21=30
Step 2: Subtract 21 from both sides.
6y+21−21=30−21
6y=9
Step 3: Divide both sides by 6.
6y/6=9/6
y=3/2
