What is the order of the differential equation d's ds +s = 4t° – 24 ? dt - dt2 .A 2 .B 3 .C 4 .D 1

Q: find the differential equation of y =C1cos(w+C2), w is A PARAMETER

A: To find the differential equation.

Q: d²y + 2 + y = et.t dt? What is the special solution function of the given differential equation?

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Q: Find the general solution to the differential equation. dx = 3t2(x2 + 16) dt %3D 4 tan(4°) + C x =

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Q: Solve the differential equation d?y dy 3 + 2y – t = 0 dt dt2 subject to the initial conditions that…

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Q: Which of the following differential equations are linear? y + ty? = Vt O t- y' = Y sin(t) Oy = }-} 1…

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Q: What is the integrating factor of the given differential equation (2xy- 1) da + a dy = 0 ? O r-1 O e…

A: The given problem is to find the integrating factor for the given differential equation, we have to…

Q: consider the differential equations y/(t) = cos(t) %3D (t) = cos(ult))

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Q: 1. (x* + ху? — у)dx + (у' +x?у+х)dy %3D 0

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Q: Determine the order of the differential equation. 3 dy a) +y = sin x dx dy +t+2y= sin(t) dt? b) ?…

A: 1a dydx3+y2=sin x

Q: Select the differential equation that matches the given slope field. |-4 | 7-5+ (y+4)² dx dx (y+4)²…

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Q: e the differential equation by th 1. dy_ x + y dx 2. – a² .2 dy y? – x?

A: Multiple questions:Since you have asked multiple questions, we will solve the first question for…

Q: What is the order of the differential equation M – R()* = (#)' ds dt? dS sin St? dr2 dr

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Q: dy To solve the ordinary differential equation 3- dt + ty? = sint, y(0) = 5, by Runge-Kutta 4th…

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Q: Transform into Bernoullis' form the differential equation (2² + y?) dr - (ry) dy = 0. | dy = Ty dr…

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Q: Find an integrating factor that will make the given differential equation exact- 2y Cx²tD dx + dy =0…

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Q: test whether the differential equations are exact and solve those that are. y dt +t dy 0

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Q: (b) Solve the differential equation d'y dy +2y = 2e", +3. dt? dt dy = 3 when t = 0 dt y =1 and %3D

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Q: dy 1. + ty? = 0 dt

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (т? + а? + 1)dm + m(m — 2а)da %3D0 -

A: we have to find the integrating factor of the given differential equation

Q: For what value of is the differential equation (6zy + cos y) dr + (3ka²y? – 3y?) dy = 0 exact?

A: Exact differential equation

Q: Find the integrating factor of the differential equation dy + 2xy = x³ dz %3D a. b. c. 2 In (r) d.

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Q: aM _ƏN, Consider the differential equation (y+ 1) e*dx = (e* + 1)y dy What is %3D ду A ex (1 + у) e*…

A: Given:     To determine:

Q: dy dy -4 =0 dx dx O 2 and 6 O 2 and 4 O 1 and 6 O 1 and 4

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Q: Consider the differential equation dy = ay - b. dt Find the equilibrium solution ye(t). Ye(t) = |

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Q: Find the equation which satisfies the separable differential equation dy – 18x dx with the initial…

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

A: To plot the direction filed with a curve at a given point of the given differential equation using…

Q: The displacement s of a body in a damped mechanical system, with no external forces, satisfies the…

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Q: Find the general solution of the differential equation below and check the result by…

A: Given differential equation:  dpdz=52z32

Q: What is the degree of the differential equation d'y + 5 y de d'y dy = 0 ? dx 6 O 2 O 4

A: Solution:-

Q: Consider the differential equation: dy/dt + ty = e-1/2t^2 ; y(0) = 1 Is y(t) = te-1/2t^2+e-1/2t^2 a…

A: Given differential equation is dydt+ty=e-t22                                 (i) It is a first order…

Q: Consider the differential equation y" +y" = 3e + 4t² %3D Which of the following is NOT a solution of…

A: we will first find the solution of the given differential equation that find which of the option…

Q: The solution of the differential equation d'y +9y=cos 3t dt? is y(t) = A sin Bt + (2C)tsin Dt Then…

A: According to the given information, it is required to determine the value of constants.

Q: Evaluate the solution of differential equation when y(0)=1 and y'(0)=D0. d?y dy-8y 0 %3D dt? dt

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Q: d²x d²y 9. x- dt² C1. Y at² di 10. L+ Ri = E. dt

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Q: Find an integrating factor for the differential equation 3y + 2t ) dt + 3 dy = 0 t2 t2 (justify your…

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Q: dy y= e* , z e 1, is dr I-1 A eーよ B 1 C エ-1 D D I-1

A: In the question it is asked to calculate the value of integrating factor for the differential…

Q: What is the direction field for the differential equation below: dy_ y-x = dx 2

A: Given differential equation is dydx=y-x2 We need to find the required direction field for this…

Q: dy = xe', y(0) = 0 dx %3D

A: dydx=xey⇒dyey=x dx⇒e-y dy=x dx⇒∫e-y dy=∫x dx⇒-e-y=x22+C⇒e-y=-x22-C⇒-y=ln -x22-C⇒y=-ln -x22-C

Q: Find the solution of the differential equation that satisfies the given initial condition below dy…

A: This question is related to differential equations, We will solve it using given information.

Q: dh(t) = -Kh? (t) dt пВ - h(t):

A: solution is given below

Q: V (x) dt2 c²e(t) dx2

A: Modify the equation as shown.  ψxd2θdt2=c2θtd2ψdx21θtd2θdt2=c2ψxd2ψdx21c2θ''tθt=ψ''xψx

Q: Find u from the differential equation and initial condition. du e1.lt – 3.4u, dt u(0) = 2. u =

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Q: хdy - (у + x? сos(x) dx %3D 0 os(x)) dx = 0

A: Given differential equationxdy-(y+x2cosx)dx=0xdy-ydx-x2cosxdx=0

Q: What is the differential equation whose solution is the voltage VR across a resistor in a RL series…

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Q: solve the differential equation by the Laplace: 2- y" + y = 16 cos t y(0) = 0, y'(0) = 0

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Q: The order of the differential equation: dôy V dæ6 dy V 10+ is dx O 2 O 20 O 12 6

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Q: folve the given differential equation by finding Factor. appropriate integraing an Gxy dx t (ay…

A: Let's find.

Q: The order and degree of the differential dy equation + respectively, are O 2, 2 O 1,2 O 4, 2 O 2,1

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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.