What is the general solution of xy(xy5-1)dx + x²(1+xy5)dy=0 ?

Q: x³ dx 9+x* 1.

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Q: 5x + 6x dx. Find х - 1

A:

Q: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: $x+ 2 4x -1

A: Given that                                                           I=∫8x+24x-1dx

Q: Solve (5x + 9y) dx + (9x+ 5y) dy

A:

Q: –dx (1 +x) (x+1)Vx² +2x-2

A:

Q: (x+1) dx V 8+2x-X²

A: ∫x+18+2x-x2dx

Q: x2+1 - dx x4-x²+1

A:

Q: B3. Find the gradient of the following functions at the given point and calculate the directional…

A:

Q: x Vr2 Vx² + 1 dx 0.

A: Given

Q: dx 4+x*

A: Proceed as shown below...

Q: (x2 - 4x + 4)4/3 dx -

A:

Q: x(x²-x+2) dx is equal to 3

A:

Q: | In (x²- 2x-8) dx 5. ら

A: Explanation of the answer is as follows

Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: dx 5. x/2 +x/3

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Q: (#9) S x2 dx V16-x²

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Q: ム× dx (x2+1) (3x-2)

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Q: √(x + 3) dx √16-x²

A: Solution

Q: Determine an expression for expression for 3(y-2)³ − x² = 4x − 6. dx

A: Solving the problem by finding the value of the problem by finding the value of the derivative.

Q: S" (2x + 1)ea(x+x)dx, b > 0, a is a constant

A:

Q: (x + 2y − 1)dx + (3x + 6y)dy = 0. can you write the answer legibly

A: The given differential equation is (x + 2y − 1)dx + (3x + 6y)dy = 0.

Q: (4x³y – 15x² – y )dx +(x* +3y² – x)dy=0 -

A:

Q: (4x³y – 18x2 + y)dx + (x* + 3y2 +x)dy = 0

A: