3. Solve: x dy - y dx = 2x^2 y^3 dx * O x^4 y^2+ 4x^2+ cy^2 = 0 x^4 y^2 - 4x^2 + y^2 = c x^4 2y^2 cx^2 y^2 = 0 x^4 2y^2-cx^2 y^2 0

Q: 2x^2y"+6xy'+2y=4x^2

A:

Q: (x^(2)-6x)y^(2)=36-9y^(2)h etry about the x-axis and symm

A: The equation is as follows:(x^2 - 6x)y^2 = 36 - 9y^2

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Q: Sketch the figure of the equation 4x^2-4xy+y^2-8x-y+6= 0

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A: Step 1: Concept. Step 2: Solution of first question.  Step 3: Solution of question 3.

Q: How would I go about sketching z = 4 - 4x^2 - y^2 and z = 2(x^2 - y^2)^(1/2)?

A: Given equation of the curve  z=4-4x2-y2 and z=2x2-y2

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Q: Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate sheet of paper.…

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Q: Obtain the general solution. 1. (D^4 - 5D^2 - 6D - 2)y = 0 2. (D^2 - 2D + 2)y = 0

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Q: How would I draw the following 2 cylinders? x^2 + 4z^2 = 16 4x^2 + y^2 = 36

A: We need to draw the following cylinders.(a)  and (b) .

Q: Minimize Q = 4x^2 + 3y^2 where x + y =7

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Q: Differentiate.

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Q: y=c_1e^x+c_2x^3

A: Elemination of arbitrary constants

Q: (D^3-2D^2-5D+6)y=e^(3x)

A:

Q: Sketch x^2 -y +z^2 =1

A: Answer is mentioned below

Q: 2=3x² -4xy t6x %3D

A: Given that, The function is following, z = 3x2 - 4xy + 6x We have to find the value of d2z∂y∂x.

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Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: Solve: x^2dy - y(x+y)dx = 0 O x+y=Ce^(-y) y Ixl=Cx^2 x=Ce^(-x/y) O x lxl = Cy^2 Oy=Ce^(-xy) O y…

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Q: Solve for the general solution: 6 D^3 - 13 D^2 + 6 D = 0. O y = cle^x + c2e^(2/3 x) + c3 e^(3/2 x) O…

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Q: For the equation, 2y(x^2 - y + x)dx + (x^2 - 2y)dy = 0, what is the solution

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Q: sec (2 – 3x) A. – 9sec (2 – 3x)tan (2 – 3x) - 9sec (2 – 3x) tan tan (2 – - C. 9 sec (2 – 3x) tan tan…

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Q: 1/y+5  -  5/y-5 =14/y^2 - 25      Solve:

A: Given: