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4 years ago

12. Higher Order Thinking Find all the

Mathematics

1 answer:

andrew-mc [135]4 years ago

3 0

Answer:

38= 2×19

39= 3×13

40= 2×2×2×5

hcf = highest common factor = 1

if you can't seen any common factor then write 1 , it's common in all.

if all the number divide by same number, then it's common in factor

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kicyunya [14]

Answer:

Step-by-step explanation:

69 divided be 3

= 23

step 2

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step 3

69 -46= 23 Elga age

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3 years ago

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Answer:

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Alexus [3.1K]

Answer:

Solution is $y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}$

Step-by-step explanation:

Given Differential Equation,

$y"-2y'+y=xe^x$ ...............(1)

We need to solve the given differential equations using undetermined coefficients.

Let the solution of the given differential equation is made up of two parts. one complimentary solution and one is particular solution.

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For Complimentary solution,

Auxiliary equation is as follows

m² - 2m + 1 = 0

( m - 1 )² = 0

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So,

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let $y_p(x)=Ax^3e^x$

$y'=Ax^3e^x+3Ax^2e^x$

$y"=Ax^3e^x+6Ax^2e^x+6Axe^x$

Now putting these values in (1), we get

$Ax^3e^x+6Ae^2e^x+6Axe^x-2(Ax^3e^x+3Ax^2e^x)+Ax^3e^x=xe^x$

$Ax^3e^x+6Ae^2e^x+6Axe^x-2Ax^3e^x-6Ax^2e^x+Ax^3e^x=xe^x$

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$6A=1$

$A=\frac{1}{6}$

$\implies\:y_p(x)=\frac{x^3e^x}{6}$

Therefore, Solution is $y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}$

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4 years ago

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Answer:

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Step-by-step explanation:

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