I. Determine whether the given differential equations are homogenous or not homogenous. If the equation is homogenous, state the degree. 1. y' = 2 2. y' = x+ xy 3. y' =

Q: Form the differential equation for the function y = acos(2x + b)

A: By finding first and second derivatives of function we form the required differential equation as…

Q: Determine whether y = 2x is a solution of the differential equation y'= 6x², a. 6x2- and by'= 6r?…

A: Just take derivative of y and substitute in given differential equation and see if it satisfies the…

Q: A tank contains 100 gallons of a saline solution. A saline solution containing 3g of salt per gallon…

A: To write a differential equation for the amount A of salt in the tank at time t

Q: dy 2) x- - 1 = -2e-y 1 = dx

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Determine the order of the differential equation + x²y = xex. dx A. 0 B. 1 C. 2 D. 3

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Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

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Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: Determine whether the given function is a solution of the differential equation. y = √√√x; xy' - y =…

A: Given a differential equation xy'-y=0. To determine whether function y=x is a solution of the…

Q: Form the differential equation by eliminating the arbitrary constants y = a csc x + b cot a

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Q: Determine which of the functions are the solutions of the differential equation: y" - xy +y = 0.…

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Q: Determine the order and degree of the differential equation, 3x + 5x² (1²1) ³ - x - xy = 0. 3 dy4…

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Q: Classify the following differential equations: a. Independent variable (IV) and dependent variable…

A: The question is related to differential equations. The solution is explained below.

Q: dx + 2- + x = u(t) x(0) = x'(0) = 1 dt %3D %3D dt

A:

Q: ta constant distance p from the origin. find the equation of the circle which touches both the axes…

A: All such lines are tangent to the circles of radius p                y=mx+p1+m2⟹   m=dydxBy…