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FrozenT [24]
3 years ago
6

If ar2 + br + c = 0 has equal roots r1, show that L[ert] = a(ert)" + b(crt)' + cert = a(r - r1 )2er1. Since the right side of is

zero when r = r1, it follows that exp(r1,t) is a solution of L[y] = ay" + by' + cy = 0. Differentiate with respect to r and interchange differentiation with respect to r and with respect to t, thus showing that Since the right side of is zero when r = r1 conclude that t exp(r1 t) is also a solution of L[V] =0. Determine a suitable form of Y(t) if the method of undetermined coefficients is to be used. y" + 2y' + 5y = 3et-t cos2t - 2te-2t cost

Mathematics
1 answer:
bezimeni [28]3 years ago
8 0

Answer:

Solution is in the following attachment.

                   

Step-by-step explanation:

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Solve <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%20%5Cfrac%7Bh%7D%7Bh%20-%203000%7D%20" id="TexFormula1" ti
dezoksy [38]
<span>\sqrt{3}(h-3000)=h
</span>(\sqrt{3}h-\sqrt{3}(3000)=h
(\sqrt{3}-1)h=\sqrt{3}(3000)
h=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}
=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}
=7098.076 (approximately)
8 0
3 years ago
What is the sale price for an item with an original price of 13.99 after applying a discount of 45%?
Alekssandra [29.7K]

Answer:

7.69

Step-by-step explanation:

13.99 x 0.45 = 6.2955 or 6.3

13.99 - 6.3 = 7.69

3 0
3 years ago
What is the sum of -6 4/5 and 6 4/5 ?
daser333 [38]

Answer:

0.

Step-by-step explanation:

-6 4/5 + 6 4/5 equals zero.

3 0
3 years ago
Read 2 more answers
Need help on this one
ivolga24 [154]
If a triangle has side lengths 5, 5, and 8, then the triangle should be classified as isosceles.

This is because an isosceles triangle has two sides of the same length and one side of a different length. This isn’t an equilateral triangle (where all sides are of equal length) or a scalene triangle (where all sides are of different lengths).

Hope this helps!
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3 years ago
Which of the following expressions represents the LCM of 91x2y and 104xy3?
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The answer is {B} 728x2y3.
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3 years ago
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