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madam [21]
3 years ago
10

HELP ME OUT PLEASE! ILL GIVE YOU 16 POINTS

Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0

1.y-4.90 = 2.4(x-1) 2. 24x-10y= -25

Step-by-step explanation:

The point-slope form of an equation is written as ;

y-y₁ = m(x-x₁) where the focus is on the slope of the line and a point on the line.

In this case, y-4.90 = 2.4(x-1)

The standard form an equation is written as :

Ax+By=C ,where x and y are variables and A,B and C are integers.

In this case; 24x-10y= -25

Learn More

Point-slope intercept form of an equation; brainly.com/question/11016508

Keywords :point-slope, standard form, equation

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

Given that,

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e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t  - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t  - 1}{e^{t}(t^{2} + 81) } ]y = 0

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The differential equation 9ty + e^{t}y' = \frac{y}{t^{2} + 81 } is  linear and homogeneous.

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