a) Solve differential equation dx = 0 x* cos y - -+ 2- dy y b) Find the equation of the line passing through the points P, ( 3, 7, 9) and P2 (8, 10,12).

Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

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Q: The differential equation y" – 3/ + y = 0 has y = cje(z/2) sin ( V3z ) + cze(z/2) cos as a two…

A: The solution is given as

Q: Determine how the functions M(x,y) and N(x,y) can be found so that the differential equation is…

A: See the attachment

Q: Form the differential equation for the function y = a sin3x -bcos3x O a. y" - 9y 0 O b. 9y" + y = 0…

A: Given differential equation is: y=asin3x-bcos3x                                                (1)…

Q: The solution of the differential equation y" – 2y' = x + sinx %3D

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

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Q: Obtain the differential equation whose general solution is y =a sin 6x- bcos 6z, where a and b are

A: Given: y=asin6x-bcos6x for finding differential equation for given equation, we have to eliminate a…

Q: Solve the non-Linear differential equation cOS y dy = sin y(1 – O sin y).given that y(0) = 4.

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Q: Solve this differential equation: (4x+3y-7)dx+(3x-7y+4)dy=0; when x=1,y=1

A: The given question can be solved as shown in step 2

Q: . Find the differential equation of the family of the curves y = c,e2x + c2x. Find the general…

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Q: 4. Find a third-order linear homogeneous differential equation which has the function r(t) = 3e-t +…

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Q: 3. (D² +1) y=tan(x)

A: solve using Non-homogeneous Hihger Order Differential Equations: By the method of variation of…

Q: / solve the differential equation by the Laplace: (One only) 1- y" - 3y' + 2y = 4e2t y(0) = -3 ,…

A: As per our guidelines we are supposed to answer one question only. For the solution of the question…

Q: satisfies the differential equation Show that y = x+ Vx' + dy - m°y = 0 + x- dx

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Q: the differential equation y''+ 9y = sin(3t) + 2 cos(3t), y(0) = 2, y'(0) = 1

A: Given y"+9y=Sin(3t)+2Cos (3t) --1y(0)=2 and y'(0)=1.Auxilliary equation associated to the…

Q: 1. Draw and obtain the differential equation of a circles having its center on the line x =y and…

A: 1.

Q: Find the differential equation that corresponds to the following solution. Give your answer both in…

A: The given solution is: y=C1 sin(4x)+C2 cos(4x)+C3 x sin(4x)+C4 x cos(4x)

Q: Solve the differential equation [cos (2y) — 3x²y²] dx + [cos (2y) - 2x sin (2y) - 2x³y] dy - a. sin…

A: Given: cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydy=0

Q: sin y(x + sin y)dx + 2x cos ydy = 0

A: Given: sinyx+sinydx+2x2cosy dy=0Bernoulli's equation:dydx+pxy=qxynLet v=y1-nLinear differential…

Q: The solution of the differential equation. (1 + y²)dx = ( tan-1y – x)dy %3D

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Q: drawing the slope field for the differential equation , I would place slope lines of _________ at…

A: We have to find the required

Q: Solve the IVP of differential equation and write the interval / a) where the solution exist, b)…

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Q: y > Ae* +Be* +ce; A,B and c unstant are

A: As per our guidelines we can solve only one question at a time please upload unsolved question…

Q: Solve differential equation, subject to the given initial condition.

A: Given,

Q: Do the functions y = cos5t and y, = sin5t constitute a fundamental set of solutions of the…

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Q: 4. determine the order of the given differential equation; also state whether the equation is linear…

A: d2ydt2+sint+y=sint

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

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Q: The solution of the differential equation d? y + y = sint di ? A y(1) =sinCt -t" cos Dt В Then A=, B…

A: Firstly let's find the complete solution of the given differential equation. Then compare the…

Q: solve the equation using differential equation linear in x and y: (2x-3y-5)dx + (3x-y-2)dy = 0;…

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

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

Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina

A: General equation of differential equation.

Q: Solve the differential equation with the initial condition: (a) = 3t2 + cos t, y(0) = 12, (b) = sec?…

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Q: Solve the differential equation. dy – 2y , x > 0 COS Z - dz

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Q: ifferential equation: dy/dx=(y(y cosx+1))/(y sinx+2x-2y) Condition: y(0)=-1

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Q: Solve the differential equation cos(x + y) dx + (3y² + 2y + cos(x + y)) dy = 0. f (y). Express your…

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Q: Obtain the differential equation of the family of curves, parabolas with vertex and focus on the y…

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Q: Classify the differential equation: 3 () -7() + 6y = sec z d*y da4

A: The order of a differential equation is defined to be that of the highest order derivative it…

Q: The differential equation y" – y + y = 0 has y = cje(#/2) sin (3E) + cze(z/2) cos as a two parameter…

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Q: Consider the differential equation a²y" – 3xy' + 3y 2.a* sin(x) whose complementary equation has…

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Q: (음) (): The degree of the differential equation: +y= sin z is O 5 (숲). (송) The order of the…

A: we know that the degree of the differential equation is represented by the power of the highest…

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

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Q: 1 yy" + (y')² = yy' y(0) = 1, y'(0): %3D 2

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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: For the differential equation y' = 2y - x, draw line segments representing the slope field at the…

A: Given that, y' = 2y - x dy/dx = 2y - x At the point (1, 2) we get: dy/dx = 2(2) - 1 dy/dx = 4 - 1…

Q: Use a computer algebra system to (a) graph the slope field for the differential equation and (b)…

A: Given: dydx=4-y

Q: Consider the differential equation r'y" +3ry'-3y 2a - 3r. of variation of parameters to solve the…

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Q: Solve the first-order differential equation by any appropriate method. (Enter your solution in the…

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Q: Solve the differential equation dy – y² sin(2x)sin²(x) = 0, y(0) = 1 %3D %3D - dx

A: Given that: dydx-y2sin(2x)sin2(x)=0, y(0)=1

Q: Solve this differential equation. (e^x-sin⁡y ) dx+cos⁡y dy=0; when x=0,y=π⁄2

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