The equation, sin y- 2 sin(2) sin(2y) y+ cos z+2xcos (z) cos(2y) = 0 is an exact differential equation. True False

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

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Q: show that function  y1=x-1 is a special solution of the differential equation y'=1 - ( y-x+1)2 and…

A: Given the differential equation y’ = 1 – ( y – x + 1)2 and we have to show that y  = x -1 is a…

Q: The solution of the differential equation tan xdx + tan ydy = 0 is

A: Using variable separable method.

Q: Solve the differential equation: sin(2x)cos(y) − sin(y)sin2(x)dy/dx = 0

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Q: y = C, cos 3x - C sin(-3x)

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Q: Show that y = cos xsin x is the solution of the differential equation y'+y tan x cos x

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Q: Solve the differential equation. cos x dy/dx + y sin x = sin x cos x

A: Simplify: Divide by cos xdydx+ysin xcos x=sin x cos xcos xdydx+y tanx=sin x

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

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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: Solve the differential equation (x + 1)y' + 4y = 5 sin x (x + 1)3 *> - 1.

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Q: Solve the differential equation. y'+y tan x = cos x, - n/2 < x < r/2 A y = x sin x + c cos x, - 12…

A: Consider the given linear differential equation which is required to solve. Comparing the above…

Q: Obtain a linear differential equation with real, constant coefficients that is satisfied 1 sin 2 1…

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Q: sin x sin y y' cos x cos y

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Q: I. dy tan(x) dx Cos (x) + x²

A: Given equation is dydx=tanxcosx+x2   What is the best way to solve the First Order Differential…

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

A: we have to solve the given differential equation

Q: The equation, sin y-2 sin(2) sin(2y) y+ cos z + 2acos () cos(2y) = 0 is an exact differential…

A: We have to solve

Q: Solve for the differential equations of  (e^x sin y - 2y sinx) + (e^x cosy + 2 cosx)y′ = 0

A: Given : (e^x sin y - 2y sinx) + (e^x cosy + 2 cosx)y′ = 0

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: y = G, cos 3x – C, sin(-3x)

A: The general solution of a differential equation is y = c1cos(3x) - c2sin(-3x) We need to find the…

Q: y' + (2 tan x)y = - cos'x

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Q: Solve the higher differential equation below; yiv - y = 2 cos x

A: The given differential equation is yiv-y=2 cosx The auxiliary equation is  m4-1=0. On solving,…

Q: dy cos(x). + y sin(x) = sin²(x) cos(x) y³ dx

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Q: The solution of the exact differential equation (²+y' cos x)de+ (2xy+3y sinx)dy=0 is:

A: The given equation is y2+y3cos xdx+2xy+3y2sin xdy=0 The given equation is of the form Mdx+Ndy=0…

Q: Solve the differential equation (y cos x+2xey)+(sin x+x2ey−1)y′=0.

A: The given differential equation is:

Q: The solution of the differential equation using variable separable 4/1- y². O sin y = 4x +e O cos 'y…

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Q: Yp = -1 / 5ex - 1/2 (cos 2x) ((ln (sec2x + tan2x)) is the particular solution of the differential…

A: A solution yp(x) of a differential equation that contains no arbitrary constants is called a…

Q: Find the Differential equation by eliminating the arbitrary constant  Sin-1 x + sin-1 y = C

A: sin-1x+sin-1y=C

Q: Solve the differential equation y""+y" = 3x² + sin x - 2 cos x What is the particular solution?

A: We have to find the particular solution.

Q: Find the solution of differential equation 4 dx2 +y = sin).

A: The given differential equation is 4d2ydx2+y=sinx2. Find the solution of the differential equation…

Q: general

A: Please refer to the image below

Q: Solve the differential equation y" - 3y+2y cos(e-x)

A: A solution of a differential equation is an expression for the dependent variable in terms of the…

Q: Show that the differential equation (- y² – y sin r + x²)dx + ( cos x – 2xy – 2021y²) dy = 0, | is…

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Q: '+y- y²(cos 2x– sin 2x) = 0

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Q: (メyーx+24 -2) dx- (x+ 4x) 0

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Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

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Q: 7) Solve the differential equation. (ev – 1)y = 2 + cos x -

A: Given: ey−1y'=2+cos⁡x ⇒ey−1dydx=2+cos⁡x ⇒ey−1dy=2+cos⁡xdx Now to solve the given differential…

Q: the general solution of the differential equation (2xy- sec2x) dx + (x  + 2y) dy = 0

A: First, find the exact form of the equation to which it belongs.

Q: y' + (2 tan x)y = cos³ x = COS" X

A: The correct answer is option (I) , i.e.  y = (cos²x)(c+sinx) The detailed solution is as follows…

Q: Solve the differential equation y ' = 2 sin x cos x

A: Given the differential equation as Use the 2A formula from trigonometry which states

Q: Solve the differential equation 3y + 3y (sin-¹x)√1-x² : 1

A: The given differential equation is 3y'+3ysin-1x1-x2=1.

Q: Solve the differential equation y"" + y = 3x² + sin x - 2 cos x

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Q: Determine the form of a particular solution for each differential equation 1. y" - 2y + y = 10e -2x…

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

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Q: Solve the differential equation dy/dx =(3x^2 - sin⁡ y)/x cos y.

A: By using exact diff equation

Q: dy_ y²sec² (-) tan (-) dx x2

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Q: Solve the differential equation: y' = cos2(x)cos2(2y)

A: Here we solve the differential equationY'=cos2x cos22y

Q: The solution to the differential equation -y x cos(3x) - is: Select one: cos(3x) + cx2 O 3x² sin(3x)…

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Q: Find the solution of differential equation 4º+y = sin dx2

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