What is the General Solution of (2y3 - x) dx + 3xy²dy=0? B 5x ²y³ = x² + C 5xảy? =xS+C 53.

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A: As per the question we are given a function in terms of an improper integral of the Bessel function,…

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Q: Q2// find the general solution 1 + 4y) dx + 4xdy = 0 3-4x2 - x + 4

A: The differential equation is given as 1x3-4x2-x+4+4ydx+4x dy = 0 Compare it with M dx+ N dy=0 Here M…

Q: What are the zeros of P(x) = (x - 3)(x + 1) (x – 1)? %3D

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Q: 1 + 19Vx| dx 6x3

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Q: 2x³ – x² + x + 2 y= (: dx%3D C D + x + 1 Consider dx. , find A+B+ C+D. x4 + x3 x3 5 4

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: (1) Evaluate the iterated integral by converting to polar coordinates. 2√2x-x2 x² + y² dy dx

A: A given integral We have to integrate it by converting it in polar coordinates

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A: The given problem is to solve the given ordinary differential equation, we can solve by using…

Q: M 75х15

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Q: Find y if In X Jer X (2x + 7) dx +4% + +4x + 8 8 | + ² tan y + c

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Q: Evaluate √a²-x² -√√a²-x² { 2xy dx dy

A: The given integral ∫0a∫-a2-x2a2-x22xy dx dy.

Q: Verify that x = C1et + C2 is a solution to x′′ − x′ = 0.

A: To Verify that x = C1et + C2 is a solution to x′′ − x′ = 0.

Q: •5 | Vx2 – 9 dx 3

A: Integral formulae: ∫x2-a2=x2x2-a2-a22lnx+x2-a2+C Given integral is: I=∫35x2-9dx Comparing given…

Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

Q: need

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Q: Sx-1 dx =x - 2b + bx + C then the valua of b is- *(x – 1)² If 2 3 O O

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Q: 2 V3-5 (1) √√√3 dx.

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Q: (2+1) 2x + 5 (2x + 5)(2x) - (x² − 1)2 (x²-1)² - X 4x² +10x-2x² +2 2 (x²-1)² Dx || 2x² + 10x + 2…

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Q: 2. If x =-1 and z = 2y = -3x, find the value of 3xy-z 1+3x²z

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Q: Need help proving this     −z = (−1)z.

A: Same basic concept of Mathematics  Like  (-) *(-) = + (-) *(+) = -

Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

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Q: -8y y² + 4xy − 2x² √ - dx

A: We can solve this using given information

Q: Is  (6, 2)(6, 2) a solution of  x−5y=−3x−5y=−3?

A: Consider the given equation for x and y:

Q: 5- A. 3. C. +X+ P 上一站 -- V -4x 一 --年 -c + c -c

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first…

Q: x2 +3 dx x (x2+2x+1)

A: This is a question of indefinite integrals.  To solve this question we will apply the concept of…

Q: 2 =[41] −1 4 If A = find (AT)-¹.

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Q: 3. If c (5x+ 2) = dx - 3 then the solution for x in terms of c and d is 3+2c (1) Sc -d 2cd (3) 5c-3…

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Q: 7. Find the solution of the differential equation (D' + 5D + 6)y = 0 + Cze* D. y = C;e-3x + Cze-* A.…

A: Given that differential equation  we have to find the solution of  that differential equation

Q: Det ermine whether the improper integral diverges or converges. (a) (x² + 4)³/2 d.x (b) xyx2 – 1 (c…

A: If the value of integral exists we say integral is converge As per our guideline we supposed to…