Find the general solution of (y + 2y) sin r²dr + V1 dy = dp. 0. %3D

Q: 5. Find the general solution of the given DE: 2x + 2xy2 y + 2x?y dy dx

A: First We will separate X and y terms of the given differential equation and than integration gives…

Q: Find the general solution of the given Attached equation

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Q: Solve for the general solution of the given non-exact DE. y(2x + y?)dx + x(y² – x)dy = 0

A: The given differential equation:y2x+y2dx + xy2-xdy=0We need to solve the above equation.

Q: (x + y) dx + (3x + 3y - 4) dy = 0

A: given differential equation  x+ydx+3x+3y-4dy=0 solution let y+x=u differentiate dy=du-dx…

Q: Find the solution to the DE. (y- x+ xycotx)dx + xdy=0

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Q: Obtain the general solution of the following equations. 3. (4xy + 3y²)dx + x(x + 2y)dy = 0

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Q: Determine the particular solution to dy/dx= 2 sin x, y(pi)=-2

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Q: (у — ӕ + хусotx)dx + zdy — 0 y(0)= 3

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Q: Find the general solution of the given Attached equation

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Q: Find the particular solution of 3 In x sec y dx – 5x sin? y dy = 0 given y(e³) = 7 %3D

A: Topic :- Differential equation

Q: Obtain the general solution of the following equations: sin y(x+sin y)dx+2x2cos ydy=0

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Q: Find the general solution of the given Attached equation

A: Given: differential equation, To solve the differential equation first, substitute

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xcos2y dx + tany dy = 0

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Q: Find the general solution of the given Attached equation

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Q: Find the general solution of the following equations. dy 2. yv1+x csc?y dx dy 3. dx 1+x2 I| ||

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Q: Find the general solution using substitution of the following DE: 1.) (2x + y + 6) dx + (2x + y) dy…

A: To Determine: Find the general solution using substitution of the following DE:

Q: Solve the IVP (1/x + 2y^2x)dx + (2yx^2 - cos(y))dy = 0, y(1) = pi. Give an implicit solution.

A: Consider the differential equation 1x+2y2xdx+2yx2−cosydy=0.........(1) Compare the equation (1) with…

Q: B) Find the general solution to the following DE. dy y? + x2 = 0 dx

A: Given differential equation is y2+x2 dydx=0

Q: The general solution of V – 2x)dx+(2xy+ 1)dy=0 is?

A: (y2-2x)dx+(2xy+1)dy=0y2dx-2xdx+2xydy+dy=0y2dx+2xydy-2xdx+dy=0d(xy2)-2xdx+dy=0Now integrate both…

Q: (2xy +y) dx + (x²- x ) dy = 0

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Q: (b) I xy(z +2) dx dy dz

A: We need to evaluate the given triple integral. Note the integration result ; ∫undu=un+1n+1+C , C is…

Q: (c) y" + 2y-3y = 9 sin(t)

A: A detailed solution is given below

Q: Find the general solution of : x tan?y dx + (1+ Vx) dy = 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the general solution of the equation тx dy %3D пу dx

A: see calculation below

Q: Find the general solution dy y cos a + 3xy %3D dx

A: We solve the given differential equation by separation of variables.

Q: Solve the general solution of the given DE:(2r+y)dx-xdy=D0*

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Q: dy = 6x– 2x + 1 cos y + eY %D dx

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Q: Solve this on І Гжу. d = y T2 x y Sin mx Sin ny dx dy =?

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Q: r1 -x²-y² •1 p? sin ф dp dф d@ 1+ p2 dz dy dx is equivalent to 1+ x2 + y? + z2

A: This is a method of solving integral by converting cartesian coordinates into spherical coordinates.…

Q: 2xdy + y(2 + xy²)dx = 0 %3D 1 when x = 1 & y= 2

A: Given equation is 2xdy+y(2+xy2)dx=0 and y(1)=1/2

Q: Find the general solution of the following exact differertial equation (e Ax + 2xy²)dx + (cos y +…

A: Givne that  The following differential equation  (e^4x+2xy^2)dx+(cosy+2x^2y)dy=0  To find the…

Q: Find the solution of the this differantial equation. extan(y)dx + [(ex)/(x-1)]dy = 0

A: Hair we use the variable separable method to solve this equation.

Q: Q21// find the general solution (sin²x + 2ye²x + 2)dx + (e2x – sec²y) dy = 0

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Q: Determine the form of a particular solution yp for y"+y cosx

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Q: Q) Find the general solution. dy sin-1x Iny dx II

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Q: b) Find the general solution of (3sin y– 5x)dx+2x² cot ydy = 0

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Q: Find the General Solution (D² – 3D + 2)y = cos(e¬*)

A: We need to find the general solution of (D2-3D+2)y=cos(e-x) Note the results  ∫cosx dx=sinx+C ∫sinx…

Q: Find the complete solution of d2y/dx2 + 2dy/dx + y = sin x cos 2x.

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Q: Check for exactness and obtain the general solution. 1. (2xy – tany)dx + (x2 – xsec?y)dy = 0

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Q: dy 6. dx 4x + 3y 2x+y

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Q: Solve the DE by Bernoulli's Equation 3 1.6 y² dx - x (2 x³+ y) dy = 0

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Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Choose the four correct steps (in order) involved in the solution of S"I (2x – sin(y)) dx dy.

A: This is a question of double integration where we need to integrate wrt 'x' first and then wrt 'y'.…

Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: Solve the given DE: (yexy + cosx)dx + (xe*y)dy = 0.

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Q: Find the solution of the following IVP. * (ye)dx + (xe* + sin(y))dy = 0, y(0) = π

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Q: Find the complete solution of the DE D´ (D– 1)y = 3e* +sin x.

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Q: Solve the equations by variation of parameters. d2y/dx2 -dy/dx = ex cos x, x> 0

A: d2ydx2-dydx=excosx