73. sc1X-7)-3 dx y= 11x -7 dy= 11dx = |1x-7 # dy %3D Sy3 tdy <-3 -3 y° dy -2 + C %3D + C It (-) + C %3D %3D

Q: (x-2) (x³-4) Vx² +1 dy 1. If y = then equals to : dx

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

Q: Q2/ If y= u3-1, u=2X Find dyldx. * dy dy du "= 3u2 * 2= 6(2X)2 =24X a- dx du dx Option 1 none of the…

A: Given that , y=u3-1 u=2x dydx=?

Q: 1-² dx dy dz se ³ 1 xyz 2-fff(x+y+z)dy dx dz TL 3-fff₂y sinz dx dy dz 6 -2

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

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: 6. (6x – 3y + 2) dx - ( 2x - y– 1) dy = 0 ans. 3x - y + C = 5 In | 2x - y + 4|

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Q: Find the general solution to dy/dx= 6-x^2/2y^3

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Q: dy ху+3x-у-3 7. Ans: y-x+In y+3, %3D = C dx ху-2х+4у-8

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Q: Example 2: Find the particular solution of (x – y)dx + (3x+y)dy = 0 when x = 2 & y = -1.

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Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: 4. (ye"-2y)dx + (xe-6 xy- 2y)dy = 0; x = 0 when y = 2. 5. (x+3) cos y dx - (sin y In(5x + 15)-y} dy…

A: The exact differential equation for the equation, F(x,y)=C, is written as Fxdx+Fydy=0, where, Fx ,…

Q: 2. - dy x³y*-2y dx

A: We have to solve given problem:

Q: E 34 ,8-23y² dz dx dy 3-3X p3-3X-y SSS(x+y+2)dy dx dz

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

Q: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

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Q: 5-(1+x')(dy-dx)= 2.xydx;

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Q: cos2y−3x2y2)dx+(cos2y−2xsin2y−2x3y)dy=0

A: Mdx+Ndy =0 form so  first check it it is exact differential equation or not. If dM/dy=dN/dx. Then it…

Q: - (64 – 2²) " - dy dx %3D

A: Solve the initial-value problem for y as a function of x.     64-x2dydx=1 , y0=6

Q: 17. (бх - 2у + ye")dx + (хе" - 2x)dy 3D0 19. (у? + ysenx)dx +(у+2хy- сos x)dy 3D 0 21. (2x-e' + ye*…

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Q: I. Find the general solution of the following: 1. dx dy -2x + 3x² dy 2. dx = 3e-2x 3. (x² + 5)dx –…

A: Differential equation problem....

Q: 22. If y = x+4 then what is 4Y? dx dy a. 4x(x + 4) dy С. dx -4Vx + 8 dx dy b. dx =-4(x + 4)= d. dx…

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Q: 8. 9. 10.¹₁²(x² (2-y)dy dx π/4 /²x cos y dz dx dy + y² + z²) dx dz dy

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Q: If y=(6U2-7)3 and U=(9-2x)5 then find dy/dx and evaluate when x=5.

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Q: у (9х — 2у) dx - x (6x = y) dy = 0 -

A: Given:- y (9x - 2y) dx − x (6x — y) dy = 0 To find:- Solve given differential equation when x=1, y=1

Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: Find d^2y/dx^2 at (-1,-2) if 3x^3-2x^2+x = y^3+2y^2 +3y.

A: Given function is: 3x3-2x2+x=y3+2y2+3y Let us consider: y'=dydx ; y''=d2ydx2 Differentiating both…

Q: (1) Find the general solution for (+) dx + (--) dy = 0 %3D

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Q: 5 To-4x D 5-2x NILS (6z²) dz dy dx

A: solution:-∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x6z3305-2x-y2dydx=∫0…

Q: (2,5, – 6) | 16x dx + 4y dy + 2z dz (0,0,0)

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Q: Solve the initial value problem 2(y- 1)dy = (4x2 + 5x – 1)dx for y(0) = 2 %3D

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Q: Solve (1+2.x) dy d²y -6(1+2x)- dy -16y = 8(1 + 2x) with y(0) = 0, y'(0) = 2. dx dx?

A: Given differential equation is: (1+2x)2d2ydx2-6(1+2x)dydx+16y=8(1+2x)2 Given differential equation…

Q: I. Find the general solution of the following: 2 dy = -2x + 3x -2x = 3e dx (x²+5)dx- (2y - 1)dy = 0…

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Q: Solve the initial value problem. dy + 9ху%3 8х, у(0)%3D 2 -9xy = y(0) = 2 dx

A: The given differential equation is, The given initial condition is y(0) = 2. Solve the given…

Q: 4) [cos(2y) – 3x²y²]dx + [cos(2y) – 2xsin2y – 2x³y]dy = 0

A: Exact Differential equation

Q: 7. Solve the following Cauchy-Euler equation d’y dx² dy +5x- +3y = In x. dx

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Q: (5v-u)du+(3v-7u)dv=0

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Q: 3 sin(3x) 2cos (4y) dy dx (-)= 3 4

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Q: 2. Find the general solution of dy d²y dy + 12- dx - 8y = 21e2 - - dx3 dx2

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Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

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Q: 22 32 S[ (4-y ) dydx 1. ans:- 3 0 0

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Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

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Q: 1- (2 xy-4 y) dx+(3x²y-8x) dy30

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Q: 3 [[ 3x² + 4y dy dx = [[ 3x² + 4y' dx dy 4y³ We have Select one: True False

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Q: 2. a*y(4) „4„(4) + 6x°y" + 9x²y" + 3xy' + y = 0. 3. (x – 1)2 d²y dx2 - 2(x – 1) dy + y = x + 4. dx -…

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Q: - If y = u – 4u and u = = 3x + r, then dy с. dr 1 dy а. dx 12x3 + 1 12x3 + 1 3u? 4 dy (3u² – 4)(12r³…

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Q: 3- dy + 3x^²y = x³6 s dx Y- XLnx dy dy +y = ₂l₁x dx 2Lnx ets

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Q: сл/4 сл/2 30. cos(2x + y)dy dx )л/4

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Q: 5) SOLVE dy _ yz %3D x2

A: A differential equation is an equation in x,y and derivatives of y. An ordinary differential…

Q: (1 – xy)-2 dx + [y² + x²(1 – xy)¯2] dy = 0; when x = 4, y = 1.

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Q: 4. (6xy³ + 2y*)dx + (9x?y² + 8xy³)dy = 0 5. (у2 — 2ху + 6х) dх — (x? — 2ху + 2) dy — 0 When: x =…

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Q: 1. (2xy + x²)dy + (2xy + y²) dx = 0 1000 A2 (3x² + 2xy) dx + (x²) dy = 0 2. *ALA 3. (3x²y³ +3 sin x…

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