Evaluate the general Solution to the differential equation: Cy-cos-x)dx+ cosxody A y(secx + tan x) t cosx - x = C B. yx(tanx-secx) t Cosx -X = C %3D C x (secx + tanx) + cosx = C D.y(seex+ tanx)- cosx-X = C

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Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?

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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…

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Q: Is (1+ex/y)dx + ex/y(1-x/y)dy = 0, a exact differential equation? If yes then, find the value of y.

A: Exact differential equation- A differential equation of the type Mdx+Ndy=0 is said to be exact if,…

Q: Obtain the solution to the differential equation: cos*x- cos"y dx + cosxsin 2ydy = 0 a. cos*y(1+…

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Q: 6. Solve for the general solution of the differential equation using exact equation [2x + y cos…

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Q: (ど+リさす。 -- dx + lê+1)e"dy-0 dy xy+3X-4-3 dx xy-2x+44-8

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Q: [cos y + 1]dy + [tanx (siny + y)]dx = [sin y cos x + y cos x]°dx gettyimages When:x = 0;y=

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Q: What is the integrating factor to (2y2 + 3xy – 2y +6x) dx + x (x + 2y – 1) dy = 0, to make it an…

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Q: (x + 1)dy + 2(y + 1)dx = 2(x + 1)/y+ 1dx

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Q: What is the general solution to the differential equation sin y (x + sin y)dx + 2x² cos y dy = 0 ?…

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Q: Solve for the general solution of the differential equation using homogenous equation. [x cos² (y/x)…

A: We will write the general solution.

Q: Determine the solution to the differential equation given by: (2xy-9x2)dx+(2y+x2+1)dy=0

A: Here,      2xy-9x2dx+2y+x2+1dy=0⇒2xy-9x2+2y+x2+1dydx=0⇒2xy-9x2+2y+x2+1y' =0Here, ∂Mx, y∂y=∂Nx, y∂x.…

Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…

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Q: 4. y = x cos(In x) x²y" - xy + 2y = 0

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Q: Solve for the general solution of the differential equation (x + 2y -1)dx – (x + 2y – 5)dy = 0 using…

A: We have the differential equation x+2y-1dx-x+2y-5dy=0 We can write it as: dydx=x+2y-1x+2y-5…

Q: Find the particular solution to the differential equation: dy dx 3x2 cos? y. Solution passes through…

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Q: Solve the differential equation by variation of parameters. y"+y = n²(x) xx) = c₂cos(x) + csin(x) +…

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Q: 4. xy = x cos( y/x)+y

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Q: Find the general solution of the differential equation. Use C, C1, C2,⋅ ⋅ ⋅to denote arbitrary…

A: Consider the given differential equation: y'x=4tan2x-3cosx Here, the objective is to find the…

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Q: Solve the given differential equation by separation of variables. (ex + 1)²e-y dx + (ex + 1)4e¯* dy…

A: Given : ey+12e-ydx +ex+14e-xdy=0 To Find : Solution of given differential equation

Q: What is the general solution to the differential equation (3x+2y+4)dx+(3x+2y-3)dy=0?

A: An equation which involves the derivative or differential coefficient is called differential…

Q: What is the general solution of the differential equation; y’ = 2x cos (x^2)

A: solution:-y'=2x cosx2solving the differential equation we getdydx=2x cosx2y=∫2x cosx2 dxlet x2=t2x…

Q: 9. [ 2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: (1+ex/y)dx + ex/y(1-x/y)dy = 0, a exact differential equation? If yes then, find the value of y.

A: Given differential equation is  1+exydx+exy1-xydy=0 Which is in the form of Mdx+Ndy=0. where…

Q: Find a particular solution to the differential equation using the Method of Un + 4y = x ex dx dx

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Q: the differential equation dy/dx + y/x = y^2 is solved via the substitution z=y^-1, the resulting…

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Q: Find the value of n that makes the differential equation xn (3x+4y)dx +(2xn+1 +2y)dy = 0 exact.…

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Q: Find the solution of the differential equation y" + y' = sin x -sinx +cosx а. y = C1 + C2 e¬x SX b.…

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Q: Select the function which is a solution of the differential equation. y" – 2y + 10y = 0 O y = 3e*…

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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: ) Find the particular solution of the differential equation dydx=(x−3)e−2ydydx=(x−3)e−2y satisfying…

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Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

A: Given differential equation:(tanx)dy-(4ylny-ytan3x)sec2xdx=0To find: General solution of the…

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Q: y = C1e2" sen(x)+ C2e²" cos(x) +x² + C3x + C4.

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Q: What is the simplest form of the integrating factor for the differential equation y' +…

A: Given: The differential equation is y'+2sec xy=cos2x. To find: The correct option for the…

Q: The complementary solution for following differential equation d3x + 5 d2x +26 dt2 dx dt3 150х 600t…

A: In the question it is asked to calculate the complementary solution of the function given below.…

Q: What is the general solution for the differential equation y" + y' = cos x + 4e¯*? A. y = Cx +…

A: Solution:

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

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Q: Find the particular solution of the differential equation (2xy - sin x)dx + (x² - cos y)dy = 0, when…

A: Exact differential equations

Q: The solution of the exact differential equation (ycosx + 2xe") + (sinx + x²ev – 1)y' = 0 is:

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Q: xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

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Q: The differential equation (2x' - xy - 2y+3 dx- (x²y+2xdy = 0 is exact because OM ON

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Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

A: We will convert given differential equation into linear differential equation by appropriate…