efined by. Hn(X) +h. iu

Q: W Airport E -0° X = X

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Q: ちad; mpliいyiy txy = x -x +2

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Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation,…

Q: ive non-zero of power s-

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Q: (a) y=e**' In(x² +2) 2+w? (b) f(w)=ln. w -2

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Q: Find 2 and z if z is defined implicitly by the equation ду x² + 2xyz + y° + e² = ln 4

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Q: Use Variation of Parameters to solve the DE y′′ − 4y = e^(2x)/x

A: Y" -4y =0 D2 -4 =0 D =2,-2 Y = c1e2x + c2e-2x Now find  W = (e2xe-2x2e2x-2e-2x|…

Q: b. The maximum deflection of a beam occurs at x satisfying 2x? – 3Lx + L? = 0 Where L is the length…

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Q: sheet Undetermind Coefficient 2 Y +2Y+Y=x'e хе

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Q: where Z₁-WN(0,0). Assume you know that E(X)=3,u= 1 and ² = 1. What is the value of $?

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Q: Q1:- A) solve the following D.E x + x*)»' -3y = 0 1 x?y" + В):- у" + у' — бу %3 8e3х

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Q: 3. The value of k in the variation models y = kx and y = is called the of

A: The value of k in the variation models y=kx and y=k/x  is called

Q: E (X² + Y²) E (XY)

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Q: 2. b. Then, use the linearization to approximate the number V8.7. Be sure to show work, and clearly…

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Q: Given x(t) as shown

A: Given, x(t) as shown :

Q: f(x) %3D e 3.

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Q: 2. y = Vg(h(x)) (g) cha))た. A'(x)'a 1,

A: To find the derivative y=√(g(h(x))

Q: ,3 e s-axis is s = -t° + 12t- 45t m. elocity is zero. |

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Q: Evaluate the intergrals. ∫ (x-1) dx / x2+5x+6 show the complete solution. step by step

A: Given integral is ; ∫x-1x2+5x+6dx

Q: Euler's diFFQ 3. Eqc) ((x) -24(x)=x(y しx1) ucx1-2uしx1 = x 1u(x) )

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Q: P/Salue for x:- Qzt Find domaia of : YEx)=/x²+4 2

A: #1 Solve for value x #2 Domain of function

Q: 7rebz dx = 2 Your answer should be in exact form.)

A: Given integral to evaluate ∫-227xe6xdx This can be integrated using the rule ∫u·vdx=u∫vdx-∫u'∫vdxdx

Q: af If 2xy(-x² + y) + xe", what is ду ду? Select one: а. 4ху — 2x3 + хеУ ду? 2x(-x² + 1) + xe" b. ду?…

A: Given ∂f∂y=2xy−x2+y+xey

Q: dz IV. Suppose z is a function of x and y, and ax² – y? = 2"e6y. Solve for dx

A: Given: z is a function of xand y and x2-y2=zxe6y. To find: ∂z∂x

Q: Example H·W : Solve the following D-E 2) + xy = 6x/y %3D бх у

A: The given differential equation is    dydx+xy=6xy →        1  we have to solve this.Bernoullis…

Q: Q37 Using separation of variable solve the PDE: T Txy Hint, take k as a constant without doing any…

A: We will use basic knowledge from PDE and ODE to solve this question.

Q: B 2 Show that can be written in the form A + C where A, Band Care T (x - 2)(x + 3) X-2 +3' constants…

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Q: Assume that a factory can produce a quantity 2x3 + x°y + y4 of goods, when x is skilled workers, and…

A: Here we use the concept of implicit differentiation.

Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

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Q: Solve for at least one possible root for the function x3 + 2x + 2 = 10e-2x² using the methods…

A: Note:- Fixed point iteration method is also called Method of Successive Substitution (MOSS). Fixed…

Q: (4x® y-18x² + y)dx+(x* + 3y +x)dy= 0

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Q: (x² -2x9 dy Solve The firest orler oDe

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Q: evaluate this using completing the square method intergral1/20(1/(x2-x+1) dx (show all steps please)

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Q: f(x) = e−x,    n = 5

A: Given:          fx=e-x ,n=5 A Maclaurin series is given by fx=∑n=0∞fnan!xn Here fx≈Px=∑n=05fnan!xn…

Q: 13 IT (y-4)dy 3 -2 T (9x -x*) dx

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Q: 1. メt y+1 Find all

A: In mathematics, matrix addition is the operation of adding two matrices by adding the corresponding…

Q: dv Solve ax + by + c dx

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Q: elser (i) E[X] (ii) E [(X – 1)21 (iii) E [3X – 1]

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Q: 3-4 3. - find A-! L i As

A: Given query is to find the inverse matrix.

Q: x=5+e(2t) y=1-e(t)

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Q: Зх-1 4x+2' , find a) R , and b) R(x+h)-R(x) x+2, 3. Given R(x) = E) %3D

A: Given: R(x)=3x-14x+2

Q: Find the eror in the work, then correct the mistake and find the correct answer Step Equation nol…

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Q: (14) f (x,y)=e" (x² +y²)

A: f(x,y) = (x^2+y^2)e^-y fx= 2xe^-y fy= -(e^-y)(x^2+y^2)+ 2ye^-y fxx = 2e^-y fyy = (e^-y)(x^2+y^2)…

Q: Solve cotx+ 3-0 on the interval x e [0,21]. O a) 6. 11x X3D O b) x-x-5 X = Od4- c) X = 11T 元 d x=…

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Q: 3-x If j- dx = x(x – 1)(x +2) +. x+2 When A, B, and C are solved, what is the value of their sum or…

A: Given ∫3−xxx−1x+2dx=∫Ax+Bx−1+Cx+2dx.....1 We have to find the value of A+B+C. Take partial fraction…

Q: A tree frog jumps along a parabolic path given by y =-0.15x +1.2x, where x is the frog's horizontal…

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Q: So Ve Pollowing the D.E 3X 3y' = e - \2 X +39

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Q: S(3x².fu)+x°, f'(x) dx =24 so, so, f(2) = ) %3D

A: We have to solve the given question. Derivative of the function f(x) can be written as f'(x) Product…

Q: ■ Find the limit.

A: The expression given is, limx→∞x2+ax-x2+bx. To find the limit of the function ,  Multiply and divide…

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.