Make the Nonexact differential equation ry dx +(3y² + 2x² – 20) dy = 0 to an exact differential equation. (Hint: Use Integrating factor) O ry³ dx + (3y³ + 2x²y – 20y²) dy = 0 ry² dx + (3yº + 2xy³ – 20y) dy = 0 O ryš dx + (3yª + 2x²y² – 20y) dy = 0 O ryt dx + (3y³ + 2x²y³ – 20y³) dy = 0

Q: 3. Form the partial differential equation by eliminating the arbitrary constants a and b from z = ď²…

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Q: The standard form of the first order linear differential equation x'y'+ry +2=0is

A: The standard form of a first-order linear differential equation is:

Q: Show that the differential equation  (2xy3 - 3y2 + 2xy2)dx + (3x2y2 - 6xy + 2x2y)dy = 0 is exact and…

A: To show that the differential equation  2xy3-3y2+2xy2dx+3x2y2-6xy+2x2ydy=0 is exact and to find its…

Q: dæ + 5x + 6 æ dt 4t where: a(0) =2 dt %3D

A: Given dxdt+5x+6∫0txdt=4t where x(0) = 2  x'+5x+6∫0txdt=4t  x(0) = 2  denote x=ϕt…

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Q: Solve the second order differential equation ÿ + 3y = x3 + sin x sinx +글stnx +sinx D: y = c,cosv3x +…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Write down a differential equation of the form dt all other solutions diverge from y = 4 as t →∞.…

A: Let us consider a differential equation dydt=ay+b  such that the solution diverges as t→∞, y=C The…

Q: Evaluate the differential equations: Integrating Factor by Formula a) (2y2 + 2y + 4x2)dx + (2xy +…

A: Given:  a) 2y2+2y+4x2dx+2xy+xdy=0b) y2cosxdx+4+5ysinxdy=0

Q: Find the general solution of the given differential equation using variation of parameters. П y" +…

A: We have to find the general solution of the given differential equation using variation of…

Q: Form the partial differential equation by elimaniting the constants form z=axey+1/2 a2e2y+b

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Q: A solution to the partial differential equation. 9. is dy?

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Q: The particular solution to the nonhomogeneous differential equation y" + 4y' +5y = 10x + 3e-* %3D

A: The given differential equation y''+4y'+5=10x+3e-x. The particular integral is computed as follows,…

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Q: Using the method of undetermined coefficients, The general solution of the differential equation y"…

A: Let us consider the differential equation y''+Ay'+By=Q(x) To solve the equation using undetermined…

Q: Find the solution to the differential equation dz 4te dt 3 that passes through the origin.

A: GIVEN: dzdt = 4te3z

Q: Determine the solution of the differential equation d5x ,d*x d3x d2x + 12 + 8 - ds5 ds4 ds3 ds2 а. x…

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Q: Find the solution to the differential equation that satisfies the given initial condit dy dx I sin x…

A: Topic:- differential equations

Q: Make the Nonexact differential equation xy dx+(3y^2+2x^2−20) dy=0 to an exact differential equation.…

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Q: What is the particular solution to the 2² +3 with the differential equation dy da 3y initial…

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Q: Find the particular solution of the differential equation with the initial condition given below.…

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Q: Find the general solution of the given differential equation using variation of parameters. y" +…

A: Please find attachment First option is correct

Q: form the partial differential equation by eliminating the arbitrary function from z=xy+f(x2+y2)

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Q: Find the general solution of the differential equation: dx/dt = 5x - 3. (1/5)[In(5x + 3)]= t + c O…

A: Given that: dxdt=5x-3

Q: (a) Verify that 8x² - y? = c is a one-parameter family of solutions of the differential equation…

A: The differential equation ydydx=8x. We have to verify that 8x2-y2=c is a one-parameter family of…

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Q: The standard form of the differential equation cosx y' + cosx y = x sin x is: None of the above O…

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Q: Find the integrating factor of the non-exact differential equation : (3x²y+6xy+y³) dx+3(x²+y²) dy=0

A: Given a differential equation, 3x2y+6xy+y3dx+3x2+y2dy=0. To find the integrating factor of the given…

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A: I am attaching image so that you understand each and every step.

Q: The general solution of the differential equation d²y + 6y = sin 4x is dx2 sin 4x O y= c¡ cos/6x +…

A: The differential equation is d2ydx2+6y=sin4x. The solution of the equation will be of the form…

Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

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Q: The integrating factor of the differential equation 2xy dx + (4y + 3x^2) dy = 0 is . Does not exist

A: Ist question was incomplete I have to do the second question Please repost ist question correctly

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: We have given the general solution y = C1 + C2e2xcos 5x +  C3e2xsin 5x

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A: The differential equation is given as y''+3y'+2y=2020x Corresponding homogeneous differential…

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Q: The transversality condition holds for the partial differential equation X4x +Uy=0 with the initial…

A: In the given question we have to check the transversality  condition of the given P.D.E s.t xux+uy=0…

Q: Solve the differential equation (21xy + 21y²) + (7x² +21xy) y = 0 using the integrating factor u(x,…

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Q: Find the particular solution of the differential equation (1-cos(2t))dy/dt=xsin(2t) given that…

A: The given differential equation is 1-cos2t dxdt=x sin2t     with xπ2=2. Solve as follows. 1-cos2t…

Q: Find the general solution of the given differential equation using variation of parameters. y" + 4y…

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Q: . Find the explicit general solution to the given differential equation. Hint: Linear DE. (2x + 1)y'…

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Q: The reduced form of the given Bernoulli's dy dx + 3xy = 4xy³ to differential equation the Linear…

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Q: Solve the differential equation (y+xy+1)dr +(x²+xy²+ 2y)dy=0 by forming integrable combinations.

A: Differential equation

Q: The solution of the differential equation by variable separable method dy 3 + y?) (3x² + 6) is_ dx…

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Q: Verify that the function   ...    is a solution  of the  differential  equation x dy/dx+3y=2x5 and…

A: Given,          xdydx+3y=2x5

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Q: The General solution of the differential equation 3x2 + 2x + 6 is x3 + x2 + 6x dy using variable…

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Q: Form the differential equation if its solution is y=acos2x+bsin2x a. y"+4y=0 b. y" – 4y = 0 c.…

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Q: btain the differential equation of the given family of curve: y^2=x^3/(c-x) O A. x^3 y^'+x^2 y+y^3=0…

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