Find the general solution of the ODE.

Q: 2(h+1)=6h-7

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Q: 7- 106 y(t) = = 0,69 - 107 1+ 1399999e-0,23t

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Q: State the order, degree and linearity of the ODE.

A: Here given DE is  (y')2-xy'+y=0.....(1) The order of a differential equation is defined to be that…

Q: 3) A mathematics professor gives two different tests to two sections of his college algebra 3)…

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the mean…

Q: 6. 4.8 Draw or add images here 14

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Q: 5. Using the graph of y= f(x), determine the equation for the transformed function g(x)in the form y…

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Q: Give a unique first order non-linear ODE.  Then do the following: Explain why your ODE is…

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Q: If x = c| 2 is the complementary solution of the nonhomogeneous system 3 -2 X + 2 -2 -2t , then the…

A: We need to find the particular solution to the above problem. We are given the system of the…

Q: x² – 3x + 7 15. X – 2

A: Long Division Method  first term of the numerator is divided by the first term of the denominator,…

Q: 2. (x2 + 2ху — 4у?)dx — (x? — 8ху — 4y?)dy %3D0 - - -

A: Given:                                 x2+2xy-4y2dx-x2-8xy-4y2dy=0       .........(1) First we check…

Q: A cannonball is fired directly upward from a height of 0 feet with an initial velocity of 208 feet…

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Q: 8) Suppose you were to collect data for the pair of given variables in order to make a scatterplot.…

A: In theory of statistics, dependent variable is the response variable, where the variation of the…

Q: y d²y = sin y. dr2 Y d'y dr2 d'y Ne dx2 7 -y=1 1 -1=Y У

A: As we know that; The standard form of the linear ordinary differential equation is:…

Q: r=ulnv, y=v² sin u

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Q: Let a, b and c be real constants. Consider the ODE ay" + by' + cy = 0. Which relationship must be…

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Q: By= In(Cx-2)

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Q: What is the most appropriate technical conclusion inferred from the results comparing means by…

A: From the given output, the p-value corresponding to column is 0.1755.

Q: Explain the value of t?

A: t-test: The t test is used to check if the averages of two groups are statistically different from…

Q: Find the standardized test statistic, t, to test the claim that µ1 > P2. Two samples are random,…

A: Sample Size Sample mean Sample S.D Sample 1 n₁ = 18 x̅₁ = 580 s₁ = 40 Sample 2 n₂ =13 x̅₂ =565…

Q: For the functions f(x) = x² and g(x) = x + 3, find the following. (a) f(g(1)) = (b) g(f(1)) = (c)…

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Q: dx +x cos(t)-sin(2x) = 0, dt sin(2.x)

A: We have to slove this ODE:

Q: 470 t = +/+ = 18.317 sec. & 0.0167 t'

A: Given that :-      =>    0.0167(t^4/4) = 470  Now both side divide by 0.0167, we get       =>…

Q: 7) In a summer baseball league the number of wins had a mean of 81.79 with a standard 7) deviation…

A: Given,   The equation is,   The objective is to predicted number of wins for a team that allowed…

Q: 69. y = log;(x – 1) – 2

A: Question number 69,Given,          The function is y=log3x-1-2.

Q: 3y+6=21

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Q: A body is moving in simple harmonic motion with position function s(t) = sin t + cos t, with s in…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.