What physical systems might the Chini equation, y*y' + f(x) = g(x)*y, represent? Can you tell me where to find Dr. Chini's paper?

Q: 7. y - y = 16

A: The objective is to find the general solution .

Q: there a way to check if the equation you find after applying the initial condition is correct?

A: Let  Given that dy/dx = 2x (y − 1),.      y(0) = y0. And from solved answer The general solution is…

Q: Use the 2 solutions Bernoulli's equation y' + -√√y=0 y x

A: The given differential equation y'+yx-y=0. We have to find the solution of the differential…

Q: f"(x) = 24x2 + 2x + 8, f(1) = 2, f'(1) = -2 f(x) =

A: given that f"x=24x2+2x+8, f(1)=2 and f'1=-2 find f(x)

Q: show that y=x2 is one of this equation solutions x2y''-2y=0

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Q: If z = f(x) + yg(x), what can you say about zy? Explain!

A: Answer is 0

Q: Obtain the particular solution for the equation 2(x³ + 7)y' = x?y when x = 1, y = 4.

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Q: Find the general solution of the given equation y" + y = 0

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Q: 13. r(t) = 3 cos³ ti + 2 sin³ tj + k 14. r(t) = 4√ti + t² √tj + ln t²k 15. r(t) = e¯¹i + 4j + 5te¹k

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Q: Find the general solution af the equation, y' = x(1- y).

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Q: How do I find the particular solution yp in the equation above?

A: For particular equation we will crate function for particular integral. Then we solve it by using…

Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

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Q: Are the functions y₁(x) = e, y2(x) = ze a fundamental set of solutions for the equation y" - 2y + y…

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Q: y" – y' – 30y = 0 0) - 1, у 10) --4

A: The general form of a second-order homogenous linear differential equation is given by…

Q: QUESTION 2 Find the general solution, in terms of real functions only, of x' = 3x + 4y y' = -0.5x +…

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Q: The general solution of y' = X У can be written in the form = C

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Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: Find the general solution of the equation

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Q: Find a particular solution to y"+3y'+2 y = x² - 3.

A: Given that,         y"+3y'+2y=x2-3  ⇒D2y+3Dy+2y=x2-3 Where, D=dydx ⇒D2+3D+2y=x2-3  Let, FD=D2+3D+2…

Q: Find the general solution for the following equation: y' = (2²4) (3y + 2)

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Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: can you explain if this is true or false if y=x2+y2, then y'= 2x+2y

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Q: 5) Form a DE by eliminating the arbitrary constants from the equation y = asin(4x + 1).

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Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

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Q: If u(x) = x3, then du = 3x2.

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Q: Find an explicit solution for y′ = ye^−x^2 , y(0) = 1

A: The given differential equation is y'=ye-x2 and the initial condition is y(0)=1. Simplify the given…

Q: solve (3-2) dx Ex Solve 3xý = zy (y-3) Ex6 + (3x-4) dy =0 %3D

A: According to the guidelines issued by the company We are supposed to answer only one question.…