The order of the differential equation of all circles of given radius a is: 3 2

Q: Given the differential equation of the family of circles with radius of 2 units and whose center's…

A: The equation of a circle is x-a2+y-b2=r2. Here, the center is a, b and radius is r. The abscissa is…

Q: Find the differential equation of the family of cardioids r= a(1+cos 0).

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Q: The velocity v and time t are related by the first order differential equation below. Find the…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Solve the given third-order differential equation by variation of parameters. y" + y' = cot(x) y(x)…

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Q: B. Solve for the differential equation of the following families of curves: (1) Family of parabolas…

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Q: a) Form a differential equation from the given function. y = Asin(2x)-5cos(2x)

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Q: Given the differential equation of the family of circles with radius of 2 units and whose center's…

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Q: Solve for the general/particular solution for the following differential equations using separation…

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Q: of the differential equation x' = 4 sin 2t, which (c) x(π/4) = 2. = 2

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Q: Iny = Aex + Bex %3D

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Q: Find the differential equation for the following families of curves. 1. All circles. 2. Horizontal…

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Q: Find the differential equations of the following primitives by eliminating the arbitrary constants…

A: Formation of the differential equation

Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr…

A: We have to find out degree

Q: A solution for the differential equation is y = eux A1 sin (vx) + A2 cos (vx), where m and n are…

A: We will find out the required values.

Q: 3. x = A sin(y + B)

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Q: Q1 By eliminating the constants A and B from the equation y = Asin 2x + B cos2x, form an ordinary…

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Q: Identify the given differential equation as to the dependent variable, degree of equation, whether…

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Q: y = c, sin wt + c2 cos wt

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Q: Determine the type of differential equation given below: * 2x(у + 1)dx — уdx %3D 0

A: Given differential equation  2x(y+1)dy - ydx = 0 If the differential equation is in the form…

Q: Ye = e-4t [C, cos(t) + C2 sin(t)I

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Q: Solve the given third-order differential equation by variation of parameters. y"" + y' = cot(x) y(x)…

A: To find- Solve the given third-order differential equation by variation of parameters. y''' + y' =…

Q: ds 1 s tan 2 t =csC dt 2

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Q: The degree and order of the differential equation 1+ is = dy dz о 12, 1 O 1, 15 O 15, 1 O 3, 1

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Q: )Show that given differential equation is exact hence solve it (cos a sin a - xy²) dx + y(1 – x²)dy…

A: We know that the differential equation  Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x Given differential equation…

Q: (a) The order of this differential equation is (b) Is the equation linear?

A: Given: d2ydt2+sin(t+y)=sint To find: (a) The order of this differential equation  (b) whether the…

Q: sin(ax)y = -a cos(a.x)y + a

A: Given that  The differential equation  To find the general solution

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

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Q: y= xtq %3D i a iB a constant yt= In (x-c) ;c iB a unstant

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Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.

Q: 5. хdy+ (ху + 2у — 2е-*) dx %3Dо ; У (1) %3D 0 |

A: The solution is given as

Q: Determine whether the given differential equations are homogenous or not homogenous. If the equation…

A: A first order differential equation is homogenous if it can be writen in theform dydx=Fyx

Q: Use the method of separation of variables to find the general solution to the following differential…

A: Given: x'=x Here x is the dependent variable. Let us take t as the independent variable. Then the…

Q: he of the curves corresponding to different values of C in the general solution of the differential…

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Q: Find the differential equations for each family of curves under the following conditions: a)…

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Q: 4te dt TOT

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Q: The second order differential equation for the instantaneous position s(t) for the vibrating mass is…

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Q: is there any homogeneous linear second order differential equation such that two functions e* and t²…

A: Given: The two functions and   is the solution of the second order differential equation

Q: Show that the function y1 = 2 is a solution of the first order Riccati differential equation given…

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Q: Write the general form of Cauchy-Euler differential Equation. Solve the follow- ing differential…

A: General form of Cauchy-Euler Differential Equation. The differential equation…

Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

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Q: Find the general solution of the differential equation / - 4(sec r + tan x)y' – 4(y – 2) = 0. about…

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Q: Find the corresponding differential equation for the following family of curves. 1. All Straight…

A: The general equation of the family of straight line is given by y=mx+b, where m and b are arbitrary…

Q: d0 1. (sec² 0) + ttan 0 = t³ %3D dt

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Q: A (플) n (2프) %3D Cos dt?

A: This is the problem of differential equation.

Q: Two roots of a cubic auxiliary equation with real coefficients are m, = - and m2 = 3 + i. What is…

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Q: Show that the function y1 = 1/t  is a solution of the first order Riccati differential equation…

A: We have to solve given problem:

Q: One solution of the given differential equation is given. Use the reduction of order formula to find…

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Q: y"-4y = 0; cosh 2.x, sinh 2x

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