The solution of the differential equation 5/1 – x2 ? dy dx 7/1 - y? = 0 is - 5 sin-x – 7 sin-y = C 5 cot-lx – 7 coty = C 1 5 sin-y – 7 sin-x = C | 5 tan-y – 7 tanx = C

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

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Q: 2. Find the general solution of the differential equation: dr = 2 cos(30) sin(30) de А. бr - cos(60)…

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Q: Solve the differential equation 2 ď²y dy + 4y = cos(ln x)+x sin(ln x), r > 0, dr dr? by using the…

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Q: If a nonhomogeneous linear differential equation has g (a) = sin 5a, what is the form of its…

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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: 2. Obtain the Differential Equation from the given general solution. y = Cj cos(3x) + C2 sin(3x) +…

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

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Q: State the order of the given ordinary differential equation. (sin 8)y"" - (cos 8)y' = 7 Determine…

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Q: 1. Given the differential equation: y" = sin(5x). Determine its general solution. A. 150y = cos(5x)…

A: Given differntial equation          y'''=sin 5xthen we have to find it's general solution…

Q: solve the differential equation.   y cos2 x dy + sin x dx =0

A: The given differential equation is,

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: The solution of the differential equation using variable separable +8 sec y = 0 is da dy O siny = 8x…

A: Divide by secy and multiply by dx the get the variable separate

Q: solve the differential equation. y cos2 x dy + sin x dx = 0

A: Given: ycos2xdy+sinxdx=0 for solving this differential equation we use variable separable method…

Q: Given: (1+ 2ytan x)dx - dy - 0, determine the solution to the differential equation. O a. 2y cosx-…

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Q: Solve the differential equation [cos (2y) — 3x²y²] dx + [cos (2y) - 2x sin (2y) - 2x³y] dy - a. sin…

A: Given: cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydy=0

Q: Solve the exact differential equation (In y -y sin x-6ex)dx +( + cos x + 5 sec y tan y -6y)dy = C y…

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Q: State the order of the given ordinary differential equation. (sin 8)y" - (cos 0)y' = 9 Determine…

A: Find your answer below

Q: 9. Solve the differential equation (2 sin?y + 4x² sin y)dx + (3x sin y cos y + 2x³ cos y) dy = 0…

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Q: Solve the first order differential equation. (2y sin x cos x - y + 2y^2 e^xy2)dx = (x - sin^2(x) -…

A: Solution :-

Q: Solve the differential equation. 10. ( cos 2y – 3x^2y^2) dx + (cos 2y – 2x sin 2y – 2x^3y) dy = 0

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Q: Consider the differential equation y" - 2y' + 17y = 0; ex cos(4x), eX sin(4x), (-∞, ∞). Verify that…

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

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Q: 2. Solve the differential equation x- 2y = r° cos() on (0, 00). %3D COS

A: To solve the given differential equation.

Q: The solution of the separable differential equation – x²y² = x² is: dx None of the above…

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Q: Solve the differential equation -1 (x + 3)¯¹ cos (y)dx cos (y)dx O a. cos (y) In b. cos (y) In -…

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Q: The implicit solution of the differential equation (1+ x) dy = (1+ y')dx by using variable separable…

A: The answer and detailed explanation is given below-

Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

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Q: The Solution of the differential equation g + 9y= -6 cos (3x) – 30 sin(3x) initial conditions…

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

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Q: 1. Find a homogeneous linear differential equation with constant coefficients whose general solution…

A: y=c1cosx+c2sinx+c3cos2x+c4sin2x For c1 and c2 α=0, β=1 α±βi0±1i0±i m-im+i=0m2+i2=0m2-1=0

Q: 2. Find the particular solution of the differential equation (1 – cos(2t)). dt da a sin(2t) given…

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Q: Consider the differential equation y" - 2y + 17y= 0; ex cos(4x), ex sin(4x), (-∞o, co). Verify that…

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Q: Consider the differential equation y" – 2y'+ 37y = 0; e* cos(6x), e* sin(6x), (-o, ). Verify that…

A: y(x) = ex(C1cos6x +C2 Sin6x)

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

A: Given differential equation is  [2x+ycos(xy)]dx+xcos(xy)dy=0

Q: Solve the exact differential equation (In y -y sin x-6e)dx+( + cos x + 5 sec y tan y - 6y)dy = 0 y…

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Q: 1. Given the differential equation: y" = cos(5x). Determine its general solution. A. 125y = -cos(5x)…

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Q: sin(ax)y = -a cos(a.x)y + a

A: Given that  The differential equation  To find the general solution

Q: The solution to the differential equation: v² (x +sin*5x) – 3y] dx + (yx² – 3x +xy – 5 + 6y…

A: The given differential equation is: y2x+12sin2(5x)-3y dx+yx2-3x+12xy-5+6y-120y sin(10x) dy=0

Q: 13) The linear differential equation whose general solution is given by x = Aet + Btet + cos(3t)…

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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 exact differential equation (n y - y sin x -без)dx+(, + cos x + 5 seс y tan y - 6у)dy %3D…

A: Here we have to solve the given exact differential equation.…

Q: Solve the differential equation as follows: (6xy* – sin x tan y)dx + (12x²y³ + sec? y cos x – 5y²)dy…

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Q: A solution to the partial differential equation. u u is None cos (3x – y) 2² + y? -3 sin (7x) sin…

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Q: Find the general solution of the given differential equation. cos2(x) sin(x)(dx/dy) + (cos3(x))y = 1

A: Given differential equation:                 cos2(x) sin(x) dydx + cos3(x) y = 1         ... (1)

Q: Solve the differential equation sin 2y dx - 3x-cos 2y dy = 0 by separation of variables. (A ex² _…

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Q: The differential equation (3ycosx+ 4xe* + 2x²e* ]dx + 3(sin x + 1 )dy = 0 is exact because ƏM ƏN

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

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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: Solve the differential equation dy – y² sin(2x)sin²(x) = 0, y(0) = 1 %3D %3D - dx

A: Given that: dydx-y2sin(2x)sin2(x)=0, y(0)=1