dy - 3, what is the value of dx Suppose x and y are functions of a third variable t. If 2sin(x) + 4cos(y) =3 and dt at A B) -6 2 3 6

Q: 4x3 - 6 Find the differential dy of the function y = %3D 4 2x Provide your answer below: dy = dx *…

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Q: (3y? + 2)2 = 1 and y(-1) = 1 What is x when y = 2? %3D dx

A: solve the differential equation by separating the variable and integrate it.

Q: = 5x- 14/15 dx Find the function y(x) satisfying and y( - 1) = - 7.

A: Given, dydx=5x-1415   and  y(-1) = -7

Q: Homework (Reduced to homogenous +Linear) dy х-у+5 dx x+y-1' dy 2х+2у+1 dx 2x+y-2 1. 2.

A: 1. Given differential equation is…

Q: dx (cosh x + sinh x)5 1 A) e5x + c. B) Fe-5x + c. + xg 5 + c. C) 5e5x + c. D) -5e-5x + c. + c. 1 E)…

A: Using formulas of coshx & sinhx

Q: (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1,–3) %3D

A: The solution of the problem is given in the next steps.

Q: Solve dy/dx +Py=Qyn where P and Q are functions of x

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Q: solutions. 1. S(7x³ + 4x²)dx e*dx 2. f 1+e2x 3. S(V1– cos x )dx

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Q: ing Initial value problem for y as a function the dy 9 = 1, x> 3, y(5) = In (3) dx

A: Since multiple questions are asked. I am answering the first question.

Q: A point is moving along the graph of a given function such that dx/dt is 6 centimeters per second.…

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Q: dy If y = sec-1(3*) then find dx Select one: In 3 а.. 1-9* 3* In 3 O b. V32x -1 In 3 С. 32x –1 - In…

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Q: dy/dx = (x-2)e^(-2y) satiafying the initial condition y(2)=ln(2) Find y as a function of x

A: Seperate the x terms and y terms to different sides and integrate on both sides.

Q: $(y.x -y°)dy – (6y-9x)dx C Left Half of (0,5) x* +y* = 25 . 3 -3 -2 -1 (0,-5) 4. 2. 2. 1.

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Q: A particular physical quantity y is given by y=[1+xsin(3t)]* as a function of the input parameter x…

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Q: dy -= 10 what is the value of dt dx Suppose x and y are functions of a third variable t. If xy = 20…

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Q: r³ – 4x – 1 = 0 3 | Consider the implicit curve throughout this problem. Find dy/dx and use this to…

A: We can solve as follows

Q: 6. (4x'y? - 3) dx + (2x"y) dy = 0, y(2) = 4 7. x dy + y dx = 0; y(1) = -1 8. y dx + (3xy? + 2e") dy…

A: According to our company guidelines we must do only first three parts of questions if question…

Q: 2x dx (x-1)2 A 2 In Ix– 1|+ C In Lx – 1| + C B 2 In Ix- 11 - . 2 In Ix – 11 + + C X-1 -+ C X-1 A D E…

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Q: 9)Se-e* dx = -e-x ex+e-x a) Inje* - e-*| +c b) In |+c |e*. c) In Inle* + e*+c d) Inle* + e*|+ c

A: According to our guidelines, in case of multiple questions we should answer the first question.

Q: 6. xy² = y³ – x³, y(1) = 2 - d.x 7. (x + ye/)dx - xe/ dy = 0, y(1) = 0

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Q: Find dy/dx by implicit differentiation. x3 + x2y + 7y2 = 4 %3D y' = %3D

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Q: (3-9)dx + 쁜dr + dy =0, y(-1) = 2. (y¯2x) ry²

A: Given: 3-yx2dx+y-2xxy2dy=0, y(-1)=2

Q: 3 Q 2x+2 dy dx dz in the order dz dx dy 0 -1 3 Q 2x+2 2 0 3 dy dx dz = ! J Į dz dx dy = 0 y-2 0…

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Q: (a) a) ₁₁ (x² +y) dy dx. Show all your work! 2 (b) ***1 1 dy dx. Show all your work! 0 2 ¹y² ff 1 dx…

A: SOLUTION-

Q: dy - (1+ 2x)y y(0) - 2.8 dx Q9. The value of y(0.5) using Euler's method with (h- 0.25) is equal to

A: We are given: dydx=(1+2x)y ⇒f(x,y)=1+2xy Let x0=0 yx0=y(0)=2.8 (Given) h=0.25 x1=x0+h=0+0.25=0.25…

Q: 2. fG-4) dy (у— 4) 5 (y+3)* 4 4. [(e* +e² )*e®x-2) dx 5. ſcsc'(2x)dx 6. (1-3 tan ysec y)'dy 7.…

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Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: dy 2y Which one of the functions given below is a solution of the DE %3D dx None of These In y + 2…

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Q: Comprte Dy and dy for given values of x und dx= Ax. 4ニ-4×+レX=-Ax=dx= 0.03 メニーしA×= dx= 0.03

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Q: Find the function y(x) satisfying = 8x - 7 and y(2) = 0. dx dy The function y(x) satisfying = 8x - 7…

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Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20)…

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Q: Solve for dy/dx and dx/Find the second derivatives: y=(x^3+x+1)^2 y=(2x-1)^3(x+2)^3

A: We have to find the first and second derivative of the function (1) y = (x3 + x + 1)2

Q: Bernoulli's Equation Solve (dy/dx) - (y/x) = y2e^(x2

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

Q: (e) S -dx, x = 3 sec t Ans. C + Vx² – 9 – 3 sec¬1 () (f) x² + 4x – 5 -dx

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Q: 6 dx (2 – x)Vx² – 4x +3 A 6 sec-1(x – 2) + C 6 sec-1 & – 2) + C V3 (х — 2) + C V3 D -6 sec-1(х — 2)…

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Q: (2x+1) 5. S (x+2)*(z–1)ª -dx

A: The given integral,∫(2x+1)x+24x-14dx

Q: a) Given that y = (a + bx)e-* where a and b are constants, show that d?y dy + 2 +y 0 dx2 dx b) Find…

A: To find  The derivatives of the given functions

Q: dy 2-2xy x² +1 0<x<1, y(0)=1; use h= 0.5. dx Determine y(1).

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Q: -2.r3 + 6x2 + 6x – 2 dy Its 2nd derivative is given by dx? 1- x 5. Consider the graph of y %3D 1+ x2…

A: For inflection points put y''=0, and find the points of x coordinates

Q: Equation d³y dy dx =pln(-5p) + 3e5p dy d5y - In(5y). = 2 cos(5y) -y dx5 dx sinh (3t-e³t)- d^ f dp4…

A: Order of a differential equation : Order of a differential equation  is the highest order derivative…

Q: 3. у3 (2 + х)? (1 — х)3 4. Find dy/dx if y = u? + 6u – 2 and u = 4x2 + 8x + 1 5. Find dy/dx If y =,…

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Q: äbäi 14 Q) Find dy/dx of the following :equation (x' +x)(x° - x +1) y = 17 KB/S dy/dx = - 4/x^2 O…

A: We use the Quotient Rule and  Product Rule of differentiation to find the answer of the given…

Q: Find dy/dx for (x+y)^3+(x-y)^3=x^4+y^4 at-8 A(2,1) A)1 O B) 2/20 C)10

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Q: II Sohe for dy/dx 1. y- (x2-4)+2 (x+3) x'y + xy2 = Jx-y -3 5x- 3 4-3X 3. y= () 2. %3D 4. Y= J1-t2…

A: We know that derivative of xn  is  d(xn)/dx = nxn-1. And d(√x)/dx = 1/(2√x). And d(U.V) = U'V + V'U…

Q: dx = -18, x 6, y= -3. for 3xy 7x+6y3 = -258, with the conditions Assume x and y are functions of t.…

A: given:

Q: EXAMPLE 1 dy (a) If x2 + y? = 400, find Y. dx (b) Find an equation of the tangent to the circle x +…

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Q: dx -=5 when x =1. dt Assume that x= x(t) and y = y(t). Let y = x° + 6 and dy Find when x = 1. dt dy…

A: we parametric differentiation for this Question

Q: ( 2xy'e' + 2xy+ y) dx + (x'y'e- x'y - 3x) dy= 0

A: We have to solve given differential equation.

Q: 1) ( x² + x - 6 ) y' = - ( 3x - 1 ) ( y + 2 ) 2) y( x? + y? + 1 ) dx + x( x² + y? - 1 ) dy = 0 3)…

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