b. Write a complete program for the following situation related to setting the speed of a car to preset values before starting a
1 answer:
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Let
Differentiating twice gives
When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.
Substitute these into the given differential equation:
Then the coefficients in the power series solution are governed by the recurrence relation,
Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.
• If n is even, then n = 2k for some integer k ≥ 0. Then
It should be easy enough to see that
• If n is odd, then n = 2k + 1 for some k ≥ 0. Then
so that
So, the overall series solution is
Answer:
Cube has larger volume than cylinder.
Step-by-step explanation:
Given:
Side of a cube = 7 cm
Radius of a cylinder (r) = 5 cm
Height of a (h) = 4 cm
Find:
Larger volume = ?
Computation:
Volume of cube = Side³
Volume of cube = 7³
Volume of cube = 343 cm³
Cube has larger volume than cylinder.