Given f(x, y) = 4x²y then the total differential df %3D O 4xy dx + 4x² dy O 8xy dx + 4x² dy None of these O 8x dx + x² dy O 2æy dx + x² dy

Q: 3 d²y +3y[ dy + dy .3 2 dx = 5x dx dx

A: We have to identify the independent variable, dependent variable , order and degree of the given…

Q: d³y d'y +5dy ² + y = +3. dt3 dt² dt d³x d²x dx +4 +6 +8x dt³ dt² dt

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Q: Suppose x and y are variables satisfy the equation x² -y³ = 12. What is -? dx dy 3x4 (A dx 4y3 dy…

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Q: dy 1 dx xy+y y = F√4ln(x + 1) + 1 Option 1 F/In(x + 1) +1 Option 3 = y(0) = 1 y = √2ln(x + 1) +1 O…

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Q: Compute dy / dx and d2y / dx2              x 2 - 4y 2 = 8

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: dx dy V3x + 4y' Evaluate

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Q: Which of the following is equivalent to ® / ² / du. A U B C -du, where u = x² - 16 2121/12/17/1/2 2x…

A: See this solution in below.

Q: 6) Find dy 1+eX for y= dx 1-ex

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Q: Find d²y/dx². y=xsin x 10 cos x

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Q: 3) + 2x³y = y°x³ dx

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: Evaluate (3x²y + y)dx + (x³ +x) Select one:

A: Here we have to evaluate ∫(1,2)(4,5)3x2y+ydx+(x3+x)dy ............(1)  Here P(x,y)=3x2y+y and…

Q: dy -1, then -2x If y= csc-(e")+Ve-1. then - Select one: -2 e+1 e2x. -1 e-1 2-1 -1

A: Given, y = csc-1ex + e2x-1  We have to find dydx.

Q: 2 2 Findª for x³ + y³ = a³

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Q: Sx (Vx-1) dx

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Q: d*y + 2d*y_ a²y +25 1³y %3D dx4 dx3 dx2

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

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Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: dy 10. x = y + Vr-y, x>0 dx

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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: y = V1 -— 2х

A: Our Aim is to differentiate the expression given below:-y=x41-2x

Q: 1. = 2 + 3y dx %3D dy 2. dx = 2cos?y dy 3. (y2 + 2) = 5y, given y=1 when x=3 dx dy 4. = xV2x + 1 dx…

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

Q: Write the linear DE of order one x²dy + (2xy-x+1) dx=0 in standard form A B D dy dx dy dx 1 2 +y(-)…

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Q: dx 3x 6y = 0 dt dy 3x + Зу %3D 0 dt

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Q: (x² + y² + x) dx + xycy = ax 0

A: The Solution is given below

Q: x - 7 Integrate dx. x2 – 2x - 3

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2 x dy + 3y dx = x²y3 dx

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Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: Column B a. y = x² + 4(x In x – 1) + c b. x2 – 3xy + y² = c c. 2x + y In? x = cy Column A (x³ +…

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Q: (2y + 3)dy S- 9y? 2 +2y +8

A: As per our company guidelines we are supposed to answer only the first question. Kindly repost the…

Q: Find the complete solution of d2y/dx2 +2dy/dx+y =sinxcos2x.

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