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3 years ago

Convert 16 over 25 into a percentage ?

Mathematics

2 answers:

Leona [35]3 years ago

8 0

16/25= 0.64
0.64×100= 64%

Nata [24]3 years ago

8 0

Percentages are /100 and 25 goes into 100 4 times so because we times the bottom of the fraction (25) by 4 to get 100, we times the top too, by 4 to get the value of %
16 x 4 = 64
16/25 = 64%
Hope this helps :)

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The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find

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Answer:

The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

General solution of given differential equation

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$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

Step-by-step explanation:

Step(i):-

Given Differential equation y'' − 5 y' + 4 y = x

Given equation in operator form

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where f(D) = D² - 5 D + 4 and Q(x) = x

The auxiliary equation f(m) =0

m²-5 m + 4 =0

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m = 1 and m =4

The complementary function

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Step(ii):-

particular integral

Particular integral

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applying binomial expression

( 1 + x )⁻¹ = 1 - x + x² - x³ +.....

$=\frac{1}{4} (1 - (\frac{D^{2} -5D}{4}) +((\frac{D^{2} -5D}{4})^{2} -...} )X$

Now simplifying and we will use notation D = $\frac{dy}{dx}$

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The particular integral of given differential equation

$y_{p} = \frac{1}{4} ( x - (\frac{-5}{4} ) (1))$

Final answer:-

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$Y (x) = C_{1} e^{x} + C_{2} e^{4x} + \frac{1}{4} ( x + (\frac{5}{4} ))$

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