dy Use Taylor's series method to solve = 3x + y, y(0) =1. dx .a None of these .b v =1+x+4xr´ +..... .C v =1+x+ 2x´ +..... .d y =1+x-2x´ +..... .e y =1+x-4xr´+.....

Q: 1. S (x+ ) V dx 1. x5/2 + 2x1/2 + C 2. 6x 2/3 + C S dx 2.

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Q: (ax-3 (x+4)8 Degreez co EGAelents

A: The detailed solution is given below Thank you

Q: 2х f(x) = (1 – x²)² a. Express f(x) as a power series. b. Determine the sum of 2n=1-I° 4n- c. Find…

A: The given function is: f(x)=2x(1-x2)2

Q: 1 3x³ + 2x² + 3x +3 Г x2 + 1 0 A В СО с D 7 2 + In 2 7+1 2 4 71 16 71п 48 dx -

A: To solve this kind of integral we need to find terms in the numerator that are common to the…

Q: EXAMPLE 12 Solving Radical Equations /2r + 7 – x = 2 а.

A: a.2x+7-x=2 adding x on both sides, 2x+7=x+2 squaring on both sides,…

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A: Given two bowling alley prices To represent them in an equation. Let x be the number of games Let y…

Q: what value of H if 8. 13 7 5 H 17 0 |-L: sec* x dx 2

A: We need to find the value of H3785H-1702=∫π/4πsec4xdx

Q: S(x+ )´ dx 2 1 X X.

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Q: Express the function as the sum of a power series by first using partial fractions. f(x) =  8 x2 −…

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Q: 3. (0.002x4 -0.3x² + 4x - 7) dx

A: The given integral is    ∫-1010(0.002x4-0.3x2+4x-7)dx

Q: 8. Use series method to obtain the general solution to the equation: 2x-3 y" + 2y=0 around r 0.

A: Given:

Q: (1,2) D (1.1) x+3y=7 (4.1)

A: Step 1: the distance between two points is d2=√((x2-x1)2+(y2-y1)2) Step 2: find the distance of all…

Q: 1 ·5² 6² (+2²³ +²² dx dy. (1 0 0 3. Compute

A: 3. Given that the double integral is                          ∫0∞∫0∞1(1+x2+y2)2dxdy.

Q: A. Use power series to solve (1 – x)y' - 2y = 0

A: In the question we have to solve the differential equation using power series.

Q: 1. What type of ODEs can be solved using power series method? a. Those with constant coefficients.…

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

Q: find the solution x?y"+xy'+x?y=0, Using power series only

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Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x - 2) + 1+ X 2 x² 8 12(x - 2)²…

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Q: dx = 2x - 1 x³+3x + C x2 +C -- 3+C 2. 6. In x +C In x +C

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Q: Find the series solution of x y' = (2x? + 1) y %3D

A: Given- xy'=2x2+1y To Find- The solution of the above differenrtial equation.

Q: 9 4 2 10x²¹² + 3 dx √x

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Q: 3x Represent the function as a power series f(x) = )` 2+ x n=0

A: Explanation of the answer is as follows

Q: A. S B -x²+x-4 (1-3x)²(9x²+1) dx. x4+5x³-6x² +18 x³ + 3x² dx.

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: Find the series solution for the equation 3x²y" - xy + y - xy = 0.

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Q: Min z = 5x1 + 2x2 2x1 + 5x2 2 10 4x1 - X2 2 12 Xi + X2 2 4 X1, X2 2 0 s.t.

A: plot the inequalities on the graph .  First plot 2x1+5x2≥10 by changing into equality

Q: 11x+8 1. S x²+x-6 dx

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Q: 4. The sum of 0.25 + 06 +0.36 +0.28=0.95 X+1 5.If P(x)= the value of P(1) is 6. 3 the value of P(4)…

A: 4.  The sum of 0.25+06+0.36+0.28=0.95 Answer: False Explanation: 0.25+06+0.36+0.28=6.89 Thus, answer…

Q: 9. (2y² – 3x²) dx + (2x² – x y) dy = 0; y (1) = 1 %3D

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Q: Let -X = x -x f(x) = Find the power series representation for the function f(x) by completing the…

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Q: 9. Use the series solution to solve the problems. a. xy" + 4y'-xy = 0

A: Since you have posted a multiple question according to guildlines I will solve first question{Q(a)}…