Answer:
Verified


Step-by-step explanation:
Question:-
- We are given the following non-homogeneous ODE as follows:

- A general solution to the above ODE is also given as:

- We are to prove that every member of the family of curves defined by the above given function ( y ) is indeed a solution to the given ODE.
Solution:-
- To determine the validity of the solution we will first compute the first derivative of the given function ( y ) as follows. Apply the quotient rule.

- Now we will plug in the evaluated first derivative ( y' ) and function ( y ) into the given ODE and prove that right hand side is equal to the left hand side of the equality as follows:

- The equality holds true for all values of " C "; hence, the function ( y ) is the general solution to the given ODE.
- To determine the complete solution subjected to the initial conditions y (1) = 3. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:

- To determine the complete solution subjected to the initial conditions y (3) = 1. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:

Answer: the correct option is A
Step-by-step explanation:
Cost of the bus is $25000. She took a loan of $25000 to be paid of in 5 years at an interest rate of 7%.
The formula for simple interest is expressed as
I = PRT/100
Where
I = interest
P = principal or initial amount borrowed
T = time in years
R = interest rate in percentage
From the information given,
P = 25000
R = 7%
T = 5 years
Therefore
I = (25000 × 7 × 5)/100 = 875000/100
I = $8750
X - y = 2400/6 = 400 where x = speed of plane and y = speed of wind.
x + y = 2400/5 = 480 - flying with the wind
adding the 2 equations
2x = 880
x = 440
Speed of the plane with no wind = 440 mph
Answer:
i dont know but some one will help freeee points
Step-by-step explanation:
Answer:
Evaluate:
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Factor:

Step-by-step explanation: