The solution of the following non exact differential equation (y + y² cos x) dx + (2x + 3y sin x)dy = 0 18: xy²y³ sin x = c O This Option None of these xy² + y³ sin x = c

Q: 3. Verify that ysin x-xy =0 is a solution of the equation y(cosx-y)dr+(sin x- 2xy)dy =0.

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Q: Solve the exact differential equation: (2y sin x cos x – y + 2y?e*y)dx = (x – sin? x – 4xye*y')dy

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Q: Show that (1-)dy+(cos xsin x-sy")dr =0 is an exact equation. Hence, find its general solution. Hint:…

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Q: What will be the neutralizing factor of 7sin(4x +sin(2x)dx when it is first evaluated using product…

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Q: Solve the following differential equation ý +y= , y(0) = 0, y (0) = 1 sin sin cos1 + ain 3 sin t y()…

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Q: 6. Find Sin 5x (b) y = THcos 5x dx

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Q: Solve the differential equation y + (tanx) y=cosx ? Ay=xsinx+Csinx By=xsinx+Ccos.x Ⓒy=sinx+Ccos.x D…

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Q: i) Solve the differential equation dx +tan x tan y = cos x secy.

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Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

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Q: Show that u = 3x^2y + 2x^2 - y^3- 2y^2 is a harmonic function.

A: Given: u=3x2y+2x2-y3-2y2 To show: u is a harmonic function.

Q: Which of the following is called explicit solution of the differential equation ? cos1y = sin x +…

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Q: Solve the following Exact Differential equation. (x + sin y)dx + (x cosy-2y) dy = 0

A: The given exact differential equation is .To find the general solution to the differential equation.

Q: Solve the following differential equations. 1) y' sin x = y cos x + sin?x

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Q: Show the following differential equation is exact, then solve it. [sin(xy) + xy cos(xy) – 8x]dx +…

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Q: dy +x Sin ( 2y) – xe-x Cos ² y = 0 dx

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Q: Solve the following equation for y(x): y" + 4y = 6 cos 3x + 20 sin 3x

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Q: S following ordinary differential equations: 2) 2 2-}=-y3i COSX dx

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Q: dy cos(x)–+ y sin(x) = sin²(x) cos(x) y³ %3D dx

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Q: Find the complement of the set given that U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: The given universal set .To find the complement of the set .

Q: What is the first step in eliminating the parameter t from the equationsx= 3 1 sin t and y = cos t -…

A: Given equations are x=3+sint,y=cost-2. To eliminate t from given equations, substitute values for t.

Q: 3x d. Evaluate dx COS cos (3t – 1) dt

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Q: Find the first two positive solutions to 2 sin(3t) 1 t -

A: We have to find first two positive solutions to given equation.

Q: Solve cos x(e2y - y) = e' sin 2x, dy dx

A: We have to solve the given differential equation.

Q: r Eliminate the arbitrary costants 3X 1. y = Ae cos 3x +Ce sin 3x

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Q: dy = y + x tan 2 dx is: a. sin (y/x) = cx sin (y/x) = x +c O c. y = arcsin(cx С. d. None sin (x/y) =…

A: Given that  xdydx=y+xtan(yx) Simplify the O.D.E dydx=yx+tanyx Homogeneous ODE let y=vx and solve he…

Q: dy Use the method for solving equations of the form = G(ax + by) to solve the following differential…

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