Answer:
y2 = (6x + 7)/36 + (Dx + E)e^x
Step-by-step explanation:
The method of reduction of order is applicable for second-order differential equations.
For a known solution y1 of a 2nd order differential equation, this method assumes a second solution in the form Uy1 which satisfies the said differential equation. It then assumes a reduced order for U'' (w' = U'').
The differential equation becomes easy to solve, and all that is left are integration and substitutions.
Check attachments for the solution to this problem.
Answer:
Slope = 
Equation of the line → 
Step-by-step explanation:
Let the equation of diagonal OA is,
y = mx + b
Here, m = Slope of the line OA
b = y-intercept
Slope of a line passing through two points 
and 
is given by,
m = 
Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,
m = 
m =
Since, line OA is passing through the origin, y-intercept will be 0.
Therefore, equation of OA will be,
Answer:
Event A = { Chevrolet , Buick }
Event B = { Ford , Lincoln }
Event C = { Toyota }
Step-by-step explanation:
- Mutually exclusive events are such that their probability of coming true simultaneously is zero. If we consider set notations we could say.
P (A & B) = P (B & C) = P (A & C) = 0
- In our case these events A,B, and C can be defined as:
Answer:
Event A = { Chevrolet , Buick }
Event B = { Ford , Lincoln }
Event C = { Toyota }
Answer:
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ------> the amount of money that should be invested at the rate of 5.25%
25,000-x -----> the amount money that should be invested at the rate of 4%
in this problem we have
substitute in the formula above
Solve for x
therefore
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
