Find the general solution of d'y da3 d'y da2 dy 11 + 31- 21y = 0 - dx ə) ☺ y = cqe* + cze -7x -3x + cze b)O y = cqe* + cze 7x + cze 3r c)O y = c1e + cge -7x + C3e 7x d) O y = ce + y = cje+ che e)

Q: y" - 3y' + 2y = 2x² + ex + 2xe* + 4e³x

A:

Q: From (1) (Y + x*y +2x2) dx +(x + 4×y" + ® y³) dy = 0 - ydx + xydx + 2x²dx + xdy + 4xy"dy +oyy =(Y.dx…

A: We will find out the required solution.

Q: Ixe A) e¯(1 − x) + C el-r 1-x B) -I dx = +C x C) -e (x + 1) + C D) −æe¯ª + C E) e(x + 1) + C

A: Topic = Integration

Q: S-メー1)J r8-2) Cx+3) Cx+V)

A: Given,        ∫x2-x-1x-2x+3x+4dx

Q: If f(x) = (x6 + 4x) ³, then df(x) a) 3(x64x)² (x5 + 4) b) 3(x6 +4x)² Oc) (x6 +4x)² (6x5) da equals…

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Q: Q1) L-¹ (²-1) = a) cosht -1 Q2) The general solution of y"" + 2y" -y'-2y = 0, is: 2x a) y(x) = c₁e²x…

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Q: Solue the guen equaitions %3D

A:

Q: The stacked column graph below depicts the percentage of boys and girls in each room at the student…

A:

Q: J(1 - 4x4 +x)/x dx = 1/(2x) + 2x2 -x +C Select one: O True O False |(4csc?x-3sec2x) dx =…

A:

Q: 12) x+(6x + 5)___dx √√x6 + x³ + 5 S

A:

Q: 9) Solve: (x + y)dy-(z-y)dx=0 a) x² + y² = C b) z² + 2xy + y² = C c) z²-2ry+y²=C d) z²-2ry-y²=C

A: We need to solve D.E.

Q: - xy +y= 0 %3D

A: The differential equation is given as y''-xy'+y=0. Let y=∑n=0∞anxn be the solution of the…

Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 1- yli+zy=2e

A:

Q: The general solution for the equation y'=x*e(x^2+y) can be given in the form of: ?ex^2+2e-y=k a) x…

A: Solve by separable variable method

Q: The general solution of (D²+2D+1)(D²+4)y=0 is A y=(C,+C,x)e+C,cos2x + C ,sin2r B) none of the given…

A:

Q: 2-у (бх + 2у?)dx dy -2

A: On solving this we will get

Q: ) 3(x+ y) dx + x(x*+ zy + uy) dy - o t.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 7. Evaluate * (D5 – 3D¹ + 8D³ + 16D² – 9D – 13)y = 0 y = (C₁+C₂x)e¯x + Сze* +C₁е²x cos3x +C5e²x…

A:

Q: ex 3-4e2x 21) f dx

A: Given expression:  ∫ex3-4e2xdx

Q: Find the general solution of the D.E. ye? dx = (4+e2") dy Show your solutions on a separate sheet of…

A:

Q: -24 y"' + 4y" + 9y'+ 10y = when x = y = 0, y' = -4, y" = 10

A: y′′′ +4y′′ +9y′ +10y=−24e−x  Linear non−homogeneous differential equation with constant…

Q: The general solution of (D²-2D+1)y=2sin x A) y=ce*+C2xeX+sinx B) y=c1eX+C2xex+cosx y=C1eX +C,XeX…

A:

Q: 16) Let f(m)-0 be the auxiliary equation of f(D)y=0 with solution set equal to (-1,0,0,2), then…

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Q: The general solution of the equation (D*+D)y=-12 is y-+x+ccosx + c,ainx +6x ® y-c, + cx + cycosx +…

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Q: 64+ 203 - 6D² - 16D -8)y =D

A:

Q: 1. Given the algebraic function x² xy + y² = 3

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Q: If 2x^4 + x^2y^2 - y^8 = 3x^2 + 4,what is the value of dyldx at point (4,1)? %3D

A:

Q: Calculate the imaginary part of  ∮C(Re(z)+3.78)(2z^2+ 5z+ 13 / z)dz  where C:|z|=1  Use FOUR…

A: We have to find the imaginary part of the integral ∮ fzdz, where fz=Rez+3.782z2+5z+13z over the…

Q: 2 1) (-2xy) dx + ( Sing-x²) dy

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: 1) (D* t 180* + 81) y =0

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: 2) у" + 4у %3D 8x?

A: Given:

Q: |(r +x² +x+1)(3x* +4x° + 6x² + 12x + 1) dx (x3

A: Use the substitution method and simplify the integration first then integrate.

Q: Differentiate. 1) f(x) = 4x2 - 5x+4 A) f'(x) = 4x-5 2) y = (2x² + 3x)² A) B) f'(x) = 4x²-5 = 8x3 +…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.