Find an integrating factor that will make the given differential equation exact- 2y Cx²tD dx + dy =0 3. a. b. C-2) C a) C. C- 2) d.

Q: Solve the attached differential equations, subject to the given initial conditions.

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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: dP VPt. P(1) = 2 dt %3D

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Q: Match the differential equation dy/dx = e−2x with its slope field.

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Q: What is the integrating factor of the non-exact differential equation (4ху+ 3у?-х)dx + (x2+2ху)dy…

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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: 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: Given the first order linear differential equation: (3xy + 3y - 4) dx + (x + 1)^2 dy = O. Find the…

A: y'+p(x)y=q(x) then  Integrating factor if  IF=e^(integral p(x)dx)

Q: The degree and order of the differential equation (出) 1 dy 1+ is = dx dy dx O 2, о16, 1 Ο 14, 1 о 1,…

A: Simplify and then find the order and the degree as shown below.

Q: Find the solution r(t) of the differential equation with the given initial condition:…

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Q: Find the order differential equation of ddy] 6 dy dy dy +7. + 6- 3. +7 = 0 dx3 dx2 dx

A: Given that a differential equation and find the order of this differential equation. We know that…

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: Determine the Integrating Factors of the following differential equations a.) (x2 + y2 + 1)dx- (xy…

A: We determine the Integrating Factor of the given differential equation   (x2 + y2 + 1)dx- (xy +y)dy…

Q: Solve the differential equation that satisfies the given initial condition: dy xe",where y(2) = 0 dx…

A: We first separate the variables and then integrate  C= integrating constant

Q: . Find the integrating factor of the first ordered linear differential equation, (x + 3y)dx – xdy =…

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Q: Use an Integrating Factor to solve the differential equation.

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Q: Find the solution of the differential equation that satisfies the given initial condition. dL kL2…

A: the given differential equation is , dLdt=kL2ln(t) , L(1)=-5

Q: Find the integrating factor so that the given differential equation will become exact DE. – 3) dæ +…

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Q: Which differential equation is homogeneous? A х2 dx + [ydx - хydy]3D0 В xdx =2x³dy- ydx © y = 9x² +…

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Q: xydy – (y² – 3a2) dx = 0

A: As we know that; The expression for the integrating factor of the differential equation Mdx+Ndy=0:…

Q: Find the solution to the differential equation dz = 2te?z dt at passes through the origin.

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Q: Find the solution of the differential equation that satisties the given initial condition. dL kĽ² In…

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Q: 1 (c) y' + 2kxy? = 0, y(x) = %3D 1+ kx?

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Q: Find u from the differential equation and initial condition. du -e-2.8 (0) - 3.5. dt %3D

A: solution of the given problem is below...

Q: Solve the given differential equation by finding an appropriate integrating factor (3x²y + 2xy +…

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Q: The integrating factor that transforms the differential equation 3y" – 6y' + Axy = 0 , into a…

A: The differential equation of the form, A(x)d2ydx2+B(x)dydx+C(x)y=0 can be transformed into a…

Q: Show that the function y=Ae-x+Bxe-x satisfies the differential equation d 2y dx2+2 dy dx+y=0, where…

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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: Verify that the functions are solutions to the associated homogeneous differential equation, then…

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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: Solve the given differential equation by separation of variables. (eY + 1)?e"Y dx + (et + 1)%e¯* dy

A: Given (ey+1)2e-ydx+(ex+1)5e-xdy = 0(ey+1)2e-ydx = -(ex+1)5e-xdydx(ex+1)5e-x = -dy(ey+1)2e-yex…

Q: Solve the linear Differential equation dy + (z sin a + cos x)y = 2 da

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Q: The differential equation (1+ a) (dy dx) = 2rydz for y (0)- 1 has an integrating factor o (z) that…

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Q: y" – 2y' + 2y = e2*(cosx – 3sinx) |3|

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Q: d²y dy x² +1 -3x xe(0,+0) - 6+9y = e* dx² dx

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Q: Consider the differential equation Y+4y=x+ sin(2x), what would be the yc? Yc = Ge2X+ C2e -2x Yc G…

A: according to our guidelines we can answer only first question and rest can be reposted. thanku

Q: Show that the substitution v=ax+by+c transforms the differential equation dy/dx=F(ax+by+c)into a…

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Q: +, classify the following differential equations according to type, order, degree, and linearity.…

A: Given : The differential equations  1) 1 + y2d2ydx2 + xdydx + y = ex 2) xy''' + y'' + cos2xy = x3…

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: Determine the Integrating Factors of the following differential equations a.) (m2+a2+1)dm +…

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Q: Show that: (xy? ) is an integrating factor of the differential equation dx dy хуз у4 r.IV 2y dx + 3x…

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

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Q: Find the integrating factor for the non-exact differential equations: 2xy dx + (y² – 3x³)dy = 0 A)…

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Q: Find a general solution of the given differential equation. d²y dy 2-+ y = e'tan-1t dt2 dt

A: Given differential equation is  d2ydt2-2dydt+y=ettan-1t Associated homogeneous differential equation…

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: Which of the following is the general solution to the differential equation dx %3D 2 (3х + у)2 — 1?…

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Q: A. Obtain the differential equation of the gi- (1) 3x² – xy² = c (2) y = a cos(x +B) (3) y = c,e¬2x…

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Q: Verify that the equation r'y = In y + C is a solution of the differential equation 2.ry? dy (1 –…

A: To verify , we will differentiate x2y=lny+c  and find y'

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

A: Let's find.