şağıdaki başlangıç değer probleminin 2. Picard yaklaşımı y2(x) olduğuna göre olduğuna öre y2(1) değerini hesaplayınız. [If the second Picard approximation of the following initial alue problem is y2(x), find y2(1)]. y' = 10 + y, |y(0) = 14. %3D

Q: 7. Evaluate Soy4 2 - y dy using Gamma/Beta function.

A: The solution is given as

Q: d. yy'- y = 6 e*, y(0) = 1 %3D е. %3D %3D

A:

Q: 5. Show that the equation of the tangent to the curve y = Inx + kx at x = 1 always passes through…

A:

Q: if g'(x) = x(x-5)(x+1)4 , then g has a local maziumum at

A: Given that g'(x)=x(x-5)(x+1)4

Q: 1. 2. rning Find first derivative and second derivative of dependent variable a.y=x²+x+8 b. y=-x²+3…

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

Q: 1 10) (1)Without evaluating the exact value of dx, what is the maximum amount your 1 VX value in…

A: "You did not give the problem number 9, so I just calculate the integration which you given." Given…

Q: (x^2)y'' - xy' + y=x*(lnx)^1/2 find the general solution of this diff eq

A:

Q: 5). § sech x tanh-x dx

A:

Q: 40. What is the residual for X1 = 14.620 x2 = 226.00 x3 = 7.000 with y = 128.40? (a) -6.7838 (b)…

A:

Q: 2) A function is given by 00 x* e=*dx. *e*dx. h(k) 00 Its values may be found in tables. Make the…

A: Recall that the Gamma function is an alternate form for defining the factorial notation. Gamma…

Q: 17. y = (4x + y)² 19 ²² +2₁ 2ry-53

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 3) Find y' if y= e ²x

A:

Q: х+1 23. у %3 х — 1

A:

Q: If y=5+ V3x +1, find y' when x = 5. 1 А. 13 В. C. 15 D. 16

A: Given,    y=5+3x+1

Q: 5.2 Consider the curve that passes through the point (0,10) and is such that the slope of the…

A: We have to find the curve that satisfies the given conditions of the problem.

Q: x³y" + xy' - y = 0 ; y=x

A:

Q: y' = {] 4-6 3-2 y, y(0) = 5 [5 2

A: y'=4-63-2yy0=52

Q: 3. y' = 5y + e-2*y-2 y(0) = 2 У (0) - 4. хуу' + 4x2 + у? 3D 0 о у(2) 3 —7

A:

Q: 2. Use Newton-Raphson Method to find the root of x'-2x²-5 = 0 between [1, 4] accurate to five…

A:

Q: 11. (4g³h)(-2g³) 12. (–15xy* )(- { xy*) 13. (금p)"

A:

Q: 2. If y = x +3x-2x+1, find the values of the following e. derivative, i. У"(2) d'y ii. dx ii. y" (2)

A: Please refer to the image below

Q: SOLVE BY LINEAR METHOD - y'- 3 X Y = x 3 cos (x)

A:

Q: y" – y' – 6y = 1 1tex

A:

Q: 6) а. Find dx if y%3 (n(x + Aj) - А2 х) (/5 В, - 7х) А131 A2=5 В1-4 B2=6 В3-2 DA-1

A: The given function is y = [ln (x + A1) – A2 x] (√5B1 – 7x). The given values are A1 = 1, A2 = 5 and…

Q: (z³+2)“ (4z+3z²)³ What is the first derivative of y = (z³+2)°(51zª+20z'+48z+32) O y' = (4z+3z?) %3D…

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Q: The slope of the line tangent to the graph ofy= xe^ at x =In 2 is A 2 In 2 2 In 2+2 B.

A:

Q: 18. Lfe ]- 19. 4(t+ + 2} - -3t3

A:

Q: 2 + 5r +4 h(r) = 3r + 5 3r + 10r + 13 O A. h'(r) =- (3r + 5)2

A: The derivative is computed using quotient rule.

Q: 5. Find y' by Implicit Differentiation for * 2y — Зу? + 4х y' = - 1 y' = 3y – 2 %3D 1-3у O b. a. 1 1…

A: Find out the implicit differentiation of given function.

Q: 23. If f(x)= 3x2+2x+1, find f'(2) O 6x+2 O 14+3x O 14 O 2x+1

A:

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.