Ay A'y A'y X y 1-1 -1 -2 2 1 3 -1 3 is given by x² – 4x +2 x2 O x? +2 x2 + 4x +2 4,

Q: J (x? — 4х + 4)10 dx

A: SOLUTION-

Q: Find y'. y = (x2 - 2x + 2)(2x3 - x2 + 4) 10x4 - 20x3 + 18x2 + 4x - 8 O 2x4 - 16x3 + 18x2 + 4x - 8…

A: This question is based on Derivative of function.

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Q: Please Answer True or False: If S V5 +x2 - 5 - 5 dx = +C, then dx = - 0 x2 V5+x2 22 x2 V5 + x2 2.

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Q: Exercises 2.3.1-2.3.13, find all (xo, yo) for which Theorem 2.3.1 implies that the initial value…

A: If f is continuous on an open rectanglethat contains then the IVP a) It has at least one solution…

Q: Find A. C. d³y dx³ given y = 48(x²-3) (x² + 3)4 24x(x²-3) (x² + 3)4 2 x²-3 B. D. -48x(x²+3) (x²-3)4…

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Q: du ди + 2y ди 2x?y ax az Əx

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Q: For the planer curve represented by the parametric equations x = 3t and y=t² + 5, what is the…

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Q: [2x+3y-z-5 4x+6y-2z x-4y+3z 5 10 C.

A: To find the values of x ,y and z satisfying all the equations

Q: csc² 6. 2 2 Cs dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use…

Q: 2 6² 6² S (3x + 4y) 5dxdy 0 Find

A: We need to evaluate :

Q: d. e. 8x³10x² - 12x - 15 2x² - 3 I 3x4 - 2x² - 5 3x² - 5 13 X x² − 1⁄2x³ + 3x² −5/2x+12/20 - f. 9 -…

A: Solve given expression using long division method

Q: 1. 9. 2

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Q: FINO Y = L A. Y = 6x (4) Yo B. C D. Yo [2 Ge 22-x²²0 ct. 86 +38 25² +53-3 -3x 20 -3x 3x 2x [등 -2x 2…

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

Q: B Sin3X 6653X + X3

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Q: Integrate -dr 8 + 4 + C

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Q: 2 1 - 1|xdx 2 ...

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Q: x1 – 2x2 – 4x3 = -4 -x1 + 3x2 + 6x3 = 5 -3x1 + 6x2 + 13x3 12 xi = Ex: 42 : x2 = Ex: 42 : X3 = Ex: 42

A: System of non homogenous equation problem....

Q: [o A = 2 -1 and C = 1 .2 2 -1 -1 AT + 3CT

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Q: .2 2 S²6²³ (2x + 3y) dxdy 0 Find

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Q: valuate 2r +c + D.

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Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: Evaluate INIM -6 x³ dx √x²-9

A: To find out the definite integral.

Q: Salve diff.eon √₁+x² + y² + x²y² + xydy 1 = 0 14x

A: Given differential equation is             1+x2+y2+x2y2 +xydydx=0 ⟹        1+x2+y2+x2y2 =-xydydx⟹…

Q: 2. Given that f is a differentiable function with f'(3) = -5, find g'(1) where g(x) = f(4x-x²)

A: The given function is,

Q: Hind Ahe standard mateix A of the linnartrangomatoon 2x x+y

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Q: d²y + b dt Suppose you have a harmonic oscillator which obeys the ODE m- + ky = 0 where m = 1, b= 8,…

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Q: x(In 7-2in 3)=-3ln 7-2in 3

A: The given expression xln 7-2 ln 3=-3 ln 7-2 ln 3. We have to find the value of x.

Q: -2 z²-8jz-4z-8j=0 Z1 11 Z2 =

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Q: бх2— 2х +5 dx? 2х + 1

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Q: Evaluate the following x4 + 4x³ + 7x² + 17x – 9 -dx | 1. x3 + 2x2 – 3.x

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

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.