C) Solve the equation x = x² + 3y X- dx

Q: 15 dx +C + x2

A:

Q: (2x3 + y) dx – xdy = 0

A:

Q: Solve (D² – 3D + 2) y = 2e3 +4 sec (e-)

A:

Q: c ex '+2) dx + 2x -3

A:

Q: Evaluate

A:

Q: a) x² – 2 dx - 2 dx b)

A: (a) We know that subtracting a constant from infinity results in infinity. Also when doing improper…

Q: •dx (x-1)*13

A: The given integral is ∫09dxx-123 We have to solve the above integral

Q: Kindly solve using algebraic substitution. x3 dx Vx2-1

A:

Q: ay (2х-10у), +y = 0 dx Solve

A:

Q: . Use variation of parameters to solve 4y" + 36y = csc(3x).

A:

Q: terms of the variable. dx 140 (1+x² )?

A: Given problem:-

Q: 3x dx 3,

A:

Q: dx 5x2 + 16

A: Given that a integration and we find the solution of this question by general formula of the…

Q: A-Solve 2xy + 6x + (x² – 4) = () dx

A:

Q: 2-x dx

A:

Q: Solve: (пу? + 3у?) dy 2.xdx = 0.

A:

Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: Solve (D2+9)y=cos 3x

A:

Q: c6 dx 1) ; 2 x+2

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: solve (D2+1)y=sinxsin2x

A:

Q: (е2х-1)2 dx е 2х

A: topic - indefinite integral

Q: dx x2 – 2x + 2

A:

Q: e ☺ x +9 x² + 9x + 18 -dz

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: (a) Solve (2ry + y²) dy = –(x² + y²) dx y(1) = 2

A:

Q: Solve the equation. dy dx = 7x² (8+y²) 3 N/W

A: We have to find an implicit solution of given equation.

Q: Solve (D'+4D+4)y-e*sin2x.

A:

Q: x?_o²' dx 2.

A: We have to evaluate∫x3x2-a2dx Let t=x2-a2 Differentiate both sides with respect to x:…

Q: Q1: Solve (x - 1)(x – 2)+y = x“ dx

A: The question is taken from the calculus in which we have to find the solution of the given…

Q: |x + 2| dx -4

A:

Q: 2 a) Solve x y'= (2+ yx)·

A:

Q: Solve d2y/dx2+y=cosecx by using method of variation of parameters.

A: Consider the given differential equation d2ydx2+y=cosecx

Q: Ja 1. Suppose a < b< c, solve: i. (x) - g(x)]dx ii. (x)dx

A:

Q: Solve (D2 - 6D + 9)y  = e2x + Sinx

A: The given differential equation is D2-6D+9y=e2x+sinx The auxiliary equation is D2-6D+9=0 Solve for D…

Q: dx (d) Solve T2x-x |2x – x²

A:

Q: Solve the equation: (x⁵+3y)dx - xdy

A: Given that:  (x⁵+3y)dx - xdy=0

Q: Find the value of x² – 9x + 14 dx =

A:

Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

A:

Q: Solve: (D - 2)²y 8(e2x + sin2x + x2

A:

Q: x2 dx 1-2x3

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

Q: Solve (D2+4D+4)y=e-x sin 2x

A:

Q: Solve the equation xd2y/dx2-dy/dx+4x^3y=x^5

A: Consider the provided D.E,

Q: 4. ( (4x – 3x? + 2.x) dx -

A:

Q: V1+x3 –dx r-2

A: ∫1+x33x-2 dx∫x2.1+x33 dx13∫3x2.1+x33 dx13∫3x2.(1+x3)13 dx

Q: (c) S x+4 x²+5x-6 2 dx

A:

Q: Solve (D - 4D +4) y = 8xe2* sin 2x

A:

Q: 2 (x²) + 4 dx =

A:

Q: dy Solve dx (25 + x²)(49 + y²)

A:

Q: (y² + xy)dx-x²dy = 0

A: The given differential equation is y2+xydx-x2dy=0. Simplify the equation to obtain the expression of…

Q: x²/9– x² dx. 2 2 5. Find answer,

A:

Q: x- 2 7) dx =

A: integration