ạ y + xy = XY LÝ - b. d. e. f. 9. te² ds + ²+1 dt = 0 S 2 F-3F cos √₁+² sino = (x-y)(4x+y) dx + x(5x - y) dy = 0 6 y² dx - x² dy + xy dy = 0 x ((ny- (nx) dy=y (1+lny-lnx) dx (x³ + cos y + 1) dy = (2-3yx²) dx

Q: dy ху+3x-у-3 7. Ans: y-x+In y+3, %3D = C dx ху-2х+4у-8

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Q: Consider the equation dy dx = y - 4x x-y which is not separable. (a). Show that the above equation…

A: Step 1: Step 2: Step 3: Step 4:

Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

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

A: Given differential equation is  x dy + (3y - ex) dx=0

Q: (y² + 1)(x + 1)dy = (y² + 3y)dx → Variable Sep.

A: The solution of a differential equation is defined as the function which satisfies the differential…

Q: Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: 1. (x2 + y² + 1)dx + x(x-2y)dy = 0 (Non-exact Equation) Ans: x² - y² + xy - 1 = cx

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Q: Q.No.3: a) Solve Cauchy-Euler equation d'y 3x3 dx3 d²y dx2 dy + 9x? + 6х— — бу %3 1+x3 dx

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Q: (D² - 9)y = 0. (A) y = e*(c,cos2r +c sin2x) B y = c,cosh 3x + c,sinh 3x y = c,cosh – 3x + c,sinh 3x…

A: Solution

Q: アT x=2 y=2 7+3x-6y dy dx x0 y=1

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Q: 4) Find when y? - x2 + cos(x + y) = 0 %3D dx

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Q: (c) y/" + 4y = 3r cos(2r)

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Q: Q.No.3: a) Solve Cauchy-Euler equation d'y 3x3 dx3 d'y + 9x2 + 6x dx2 dy 6y = 1+ x3 dx -

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Q: 2. The suitable Trignometric substitution that solves fx(x-2) dx is (x-1)=sin 0 x-1)3sec0 (x-1)=tan…

A: We can find the answer as below.

Q: (c) Find the value of √a²-x² Sa giving your answer in terms of a. 1+ 2(x + y) x² + y² dx dy,

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Q: (x2+1) dx = 0. xe'dy + dx 3 0. y

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

Q: Is the equation separable, linear, bernoulli, or homogenous? dy а. dx x4 + 4xy² 2x3 + x²y +y³ b.…

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Q: Solve dy (x + 1) + xy -x 0 dx

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Q: Find a family of solutions for x2y dx +(x2-x)dy=0. Assume x>0

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Q: 6. Find * : y- + 5)ao TK, (b) y = Sin 5x I+cos 5x dx

A: Solving the problem by finding the derivative.

Q: Determine the general solution: (dx/dt)A3 - (dx/dt)^2 - 4x = 0 Select the correct response: O y= c1…

A: Topic:- differential equations

Q: What is the particular solution of (2x -3y) dx + (2y – 3x) dy = 0 when x 0 and y = 1 %3D O 22 + y?…

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Q: find dy/dx of the following:

A: Please refer to the image below

Q: Find a family of solutions for x2y dx +(x2-x)dy=0. Assume x>0

A: Given differential equation is: x2y dx + (x2-x) dy=0x2y dx=(-x2+x) dy This given differential…

Q: (1) . V1 + v4+ I dz by speculation. (2) Use (1), if necessary, to evaluate (4 – 2=) dz 1 + x2 . do…

A: 1) Consider the integral:

Q: dy 1. dx = 6y d y 36у dx2 dy = -36y dx2 2. 3.

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. So, we will answer…

Q: solve this D.E using separation of variables dy/dx = (xy+3x-y-3)/(xy -2x+4y-8)

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Q: ху (x+ Vy² + 1)dx – (y - dy = 0 2+1 4.

A: