4. Using homogenous D.E approach, solve (x³ – 3xy?)dx = (y3 – 3x²y)dy.

Q: Q2: - If y = 3 sec3t and x = etan3t prove that: - dy (In3)² ,Y logy x %3D dx

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Q: I Solve the differential equatons when X= (x+y) dx +(2xy+xh 3x) dy=o 1. Y= 2

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Q: Find the general solution of dy dy dx =sin 2x dx

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Q: The solution of following Differential Equation dy sec²y+x tan y = x³ , is %3D dx

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Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

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Q: Use the "integrating factor" method to solve the differential equation below. dy + 3x?y = -6x² dx |

A: We know that, the first order linear differential equation is given as dydx+Px·y=Qx           ⋯⋯1…

Q: Which is the correct auxiliary equation for the d²y dy differential equation =2-? dx dx 2

A: Given differential equation is d2ydx2=2dydx

Q: 2. Solve the ff. equation using integrating factor. dy 2y – e3r dx

A: Given: dydx=2y-e3x

Q: // sin(7x²) dx dy. Compute O y/3

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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: 04- Determine the general solution of the following differential equat dy tan x. +у %3D sec х dx

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Q: This differential equation is linear. What is the Q(x)? * Cosx dy t (y- cosx )dn = 0

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Q: Solve for the particular solution of the following differential equUations. a. (x³ + 3y)dx –- xdy;…

A: The given differential equation is: x3+3ydx-x dy=0 ;    y(1)=3

Q: Solve the following differential eyuation x 2+ 2y = x* e** y.

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Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

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Q: Solve th D.E using Exact dx +(x² +3y* )dy

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Q: Solve dy dy +y = 2sin(3x) dx? dx using the method of undetermined coefficient.

A: Given that,d2ydx2-dydx+y=2sin3x We need to find the solution of the given differential equation…

Q: Find the differential dy of the given function. y = 3x − sin2x

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Q: (solve exact de) (2ysinxcosx - y + 2y²e*v¨ )dx = (x - sin'x - 4xye )dy

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Q: Find dy/dx at the given point without first solving for y. x2 + 4xy + 23 = 0 at (1, −6)

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Q: Find the differential dy of the given function: y=sin2x-4x

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Q: Solve the differential equation below. (2xCosy+3x?y) dx+ (x³-x²Siny-y) dy=0

A: The solution is given as

Q: 6) Solve the homogeneous differential x2 + y? dy quation dx 2xy

A: on solving this we get

Q: Find the general solution to the differential equatio y" + 4y = cos 2x (where y' = ) dx

A: When the right-hand side of a higher-order linear differential equation contains a function of the…

Q: This differential equation can be solved by? dy dx What is the integrating factor of: y2 dx + xy dy…

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Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

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Q: Is differential equation (4xy + 3y4)dx + (2x? + 5xy³)dy = 0 exact

A: A differential equation   M dx +N dy  =0 is  said to be exact if ∂M∂y=∂N∂x

Q: Given the differential equation dy +y dx=2xy²e* dx, what is the value of the integrating factor?

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Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: 53. df = (x+ 1)ye"dx + xe*dy

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Q: use an integrating factor to solve the given differential equation. dy 5x 4y = Ce - dx

A: Use the mentioned method.

Q: -32e* – 140 -dx J e2x +9e* + 20

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: 2. If y = find the differential dy. Hence, estimate the value of 1 + (1.023 1 +

A: topic- differentials

Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: Solve the differential equation Integrating Factor by Inspection: xdx + ydy = (x² + y²)dx

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Q: Solve the differential eqution y'-y=7e^x

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Q: Solve dy dy + y = 2sin(3x) - dx? dx using the method of undetermined coefficient.

A: We solve the given differential equation by method of undetermined coefficients.

Q: 1 Solve for the differential of y when y=sinzx, x=÷, and dx= - 3 A) B) 2 -- C) D)

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Q: * This equation is . differential equation dy + 4xy = x y3 dx Bernoulli Linear Homogenous O…

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Q: The Bernoulli's equation dy +ytanx = y'sec x after multiplying dx -2y and use appropriate…

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Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: +2) dx + (y? Inx) dy = 0, is exact differential equation. Select one: True False

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Q: How would I Find dy/dx implicitly 5xy + ln(x2y) = 9

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Q: 2-€2x y") edxtcuxe yd-siny)lye.co

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential…

Q: 1 Solve for the differential of y when y=sinx, x=÷, and dx=-

A: Solution. A is true.

Q: If y = In(6 + x8), find the differential dy. Your answer will be in terms of x and dx. Enter dx as…

A: topic - differentials

Q: 手u等() dy dy seex dy-o 2 csey dx+ secx dy-o

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Q: Is the y=2 cos(x) is the solution of the differential equation of yy' + 2 sin 2x=0? Solve and…

A: In this question we have to find is the y=2cos(x) is the solution of the differential equation of…