use The Method of characterstics to solve the Initial value Problem (IVP): u₁₂+tu₂=u² U (x₂0) = 1+x2 -∞o Lx L∞o, 04+ 21 98 LX L∞

Q: Find the solution of the given initial value problem in explicit form. () T sin(2x) dx + cos(9y) dy…

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Q: Differentiate. x4 y: 3 — х3 y' У -

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Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

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Q: The general solution of y' x2 can be written in the form

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Q: After two iterations using the Method of Successive Substitutions, what is the root of f(x)= 3x +x'…

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Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: (2xy s) 10x*y Sx*y (-243x*yy

A: Due to our guidelines I am solving only first three parts plzz repost other question.  1. (2x5y3z)2…

Q: -4 -3 2 -1 -1 4 -2. -3+ y = x2 - 4 A y = x2 - 4x y = x'- 4 y = 23 4x - ©2021 Illuminate Education…

A: our answer is y=x3-4x

Q: 23. (1.4) Solve y +2 = (4x + 2y + 6)-'e2«+v+3.

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Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: Differentiate y = (2х + 1) а. 2 y = (2х + 1) b. 1 y = 2/(2х + 1) 1 y = (2х + 1) d. y = (2х + 1) е.…

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Q: Use the integrating factor method to solve 2xy + y = 2x5/2

A: Please find attachment

Q: Find the root between [-1,0] where f (x) = (x+2)' +2x – 5 with error epsilon=0.1 by using False…

A: There are many methods to find the roots of an equation in a given interval. One among such method…

Q: Solve 3a²x² +11abx + 6b² = 0,a'0

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Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Q: solve 19. (5x' + 4x? – 3x) – (x² + 7x + 2) 20. 3(x – 1) + 4(x + 2)

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Q: dy 05: A/ Find the separable equation dx

A: The given differential equation is: dydx= y2 - 1x ⇒ dyy2 - 1 = dxx Solve this equation as follow:

Q: Differentiate y = x'arctan 2x 2x A. 1+4x2 - 2x arctan 2x 2x3 В. + 2x arctan 2x 1+4x2 C. 1+4x2 + 2x…

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Q: Solve the IVP. (35 53 X' = X with X(0) = - (4).

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Q: y= (2x)(3x+1), find y' none of these answers O 6x+2 O 12x+2 O 12x+3

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Q: rtan r d Vt3 +4 dt dx 1/a

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Q: Calculate a) 2'/ x (-2 /½) + 2ª/s = b) Solve 2(x + 4)_ = 3(x– 2) 4 5

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