The general form of a solution of the differential equation is already provided for us:

where
. We now want to find a solution
such that
and
. Therefore, all we need to do is find the constants
and
that satisfy the initial conditions. For the first condition, we have:
For the second condition, we need to find the derivative
first. In this case, we have:

Therefore:

This means that we must solve the following system of equations:

If we add the equations above, we get:

If we now substitute
into either of the equations in the system, we get:

This means that the solution obeying the initial conditions is:

Indeed, we can see that:


which do correspond to the desired initial conditions.
The correct answer is the commutative property of multiplication. This states that 2 or more numbers can be multiplied in either order.
Answer:
Length = 65 m
Width = 23 m
Step-by-step explanation:
Width = w
Length = 3w - 4
Perimeter of rectangle = 176 m
2*(length + width) = 176
2*( 3w - 4 + w ) = 176
2* ( 4w - 4) = 176
2*4w - 2*4 = 176
8w - 8 = 176 { add 8 to both sides}
8w = 176 +8
8w = 184
8w/8 = 184/8
w = 23 m
Length = 3w - 4
= 3*23 - 4
= 69 - 4
Length = 65 m
Answer
adding 2
Step-by-step explanation:
Answer:

Step-by-step explanation: