3- show that the diff. equ. is homogeneous and Solve it (2x +34) dx + (y-x)dy = 0

Q: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: . Solve: (6x + 1)y² + 3x² + 2y° %3D dr

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Q: Qs: solve the follow ing differential equations %3D

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Q: Find a real general solution. x?y" – 2y = 0.

A: The given differential equation is x2y''-2y=0. Clearly, the given DE is a second order Euler…

Q: dx V1+4x²

A: Consider the indefinite integral, ∫dx1+4x2 To solve this integral, apply u-substitution. Substitute…

Q: (x² + 4xy + 2y²)dy + xydx = 0

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Q: Which is NOT included in evaluating the integral? (Use partial fraction decomposition method.) 4 2x…

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Q: : Solve the equations3; 1. D² – 6D + 9)Y = 7e3* %3D

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

Q: A. Obtained the general solution. E... 10. (D² – 3D + 2)y = 3x²

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Q: x? dx 3. J Tx? + 4)²

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Q: Find the linear first equations 15 3 ydx+ (xy+2x-2y)dy3D0

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Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

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Q: Obtain the largest value of x with which X 1 (y+3)dy-33 2

A: Please see the attached image for the solution. If there are queries, please do not hesitate to ask.…

Q: Without solving, classify the following equations as to: separable, homogeneous (the gree), exact,…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: dy if y + x+2ry = 2+ x and (x, y) # (2,-2). dr 12 Determine an equation for

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Q: 7. Solve: dy x + 3y d.x 3x + Y

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Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: 1. Solve: 2 dy (2y + 3) dx 4x + 5,

A: The answer of the differential equation is, 2/(2y+3) = 1/(4x+5) + c, where c is an arbitrary…

Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: Solve: dy = (x – 3y) dx %3D xt = (3t2 + c)e2t b. 9y = 3x – 1+ ce-3x %3D -3ex + x3y C = 0 +e + a.

A: Given that: dy=(x-3y)dx

Q: Consider the equation x² + y³ + zª − 8xyz = z². Find z point (1,1,1). at the

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Q: Solve the following DE: x³ydx + (3x4-y³) dy = 0 O 15x5y 10 2y ¹2+ C ○ 4x6y 10 = 3y ¹2+ C 12 O 15x4y…

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Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

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Q: d Find dx - (12t8 +2020)dt. 1 4 +2020x + C а. 3 12x8 - 12 Ob. 8' 12x° + 2020 Oc. None of the other…

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Q: Which of the following equations is variable separable? O a. (3a2 – y²)dx – 2aydy = 0 O b. (z² +…

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Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

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