(2æ + 5)² dx

Q: dy dx 23 X + 24 2メ+ツ

A:

Q: (a) (3-x- y)dy=(2x – 4y+6)dx.

A: According to the guidelines I can solve 1st problem only. For the remaining problems you have to…

Q: 3. f; 3x – 1 -dx J 25х? -16

A:

Q: - 3人 dy dx + 34= 3Xe %3D the く.Juc

A: dydx+3y=3x2e-3x The above equation is linear differential equation of the form dydx+pxy=qx whose…

Q: dx 2 arctan(4)- arctan (2)-a 4 arctan (5)- none of the choices 3 arctan (2)-

A:

Q: dx-2xy dy = 0

A:

Q: VI-x? x dy dx •1/2 9. V3x

A:

Q: Ге-). 5x) dx х Je

A: Consider the upper integral.

Q: -2 ex + 4 dx ex – 4 J-4

A: Given: ∫-4-2ex+4ex-4dx

Q: r2 ex dx Jo ex+1

A:

Q: dy 2ху 3 Зу*, у(1) %— dx 112

A:

Q: ex dx 25. - ex+1

A: ∫exdxex+1

Q: sec?xsec'y dx dy .2

A:

Q: Vx - 2 dx xi(Vĩ + 1)

A:

Q: dy _(2x — у +1)? 2х — у %3D dx

A: We have to solve the differential equation dydx=2x-y+122x-y. The independent variable in this…

Q: (a) Find fx5 +2 cos(2x) dx

A:

Q: (6х + у?)dx + (2ху — Зу?)dy %3D0 |

A:

Q: I/3 1 dx Ja16 \1+ tanx. R/6

A: SOLUTION:Given let   I = ∫π6π311+tan xdx= ∫π6π3cos xcos x+sin xdx=12∫π6π32cos xcos x+sin…

Q: dx Vi -x 0.

A: we have to integrate the definite integral  ∫01dx1-x2

Q: 1 2 е. -) dx 3-x. 1 f. S (2x+5)7

A:

Q: 5. Sx? cos 6x3 dx %3D

A: We have to evaluate the given integral by using theorems of antidifferentiation.

Q: (с)(2у) dx + (6x3— ху — х)dy 3D0

A:

Q: Find dy/dx: 1 II 22²+(²+1)¹

A: Important Formulae:1)ddx(xn)=n xn-12)ddx(1x)=-1x2

Q: 3. 2(2x2 + у?)dx — хуdy %3D0. |

A:

Q: о dy-bdy +ay 1 dx2 - бе 3х +те-го года

A: The objective is to solve the given differential equation. Since the given equation is non…

Q: [D3 – 6D2 + 11D − 6)y = cosx sinx

A: The objective is to solve the above differential equation.

Q: dy - 7 dr fip + 12y = 3x2e4x. dx?

A: Solutions

Q: (х — 3)dx J («+2)(х + 1)?

A:

Q: dy Y- (3-2x') (3x+5x) (7-2х); dx

A: Derivative

Q: 1- x dx 21 y =

A: We solve the given integral using Trigonometry substitutions method.

Q: dx d. de. f(3x + 2)5 dx f sec²x

A:

Q: .3 Use Trigonometric Substitution to evaluate: dx 2 |1+4x²

A: This question is based on indefinite integral.

Q: 3. Find 4. Find 5. Determine -dx

A:

Q: ∫sec^2(x)dx

A: The given integral is ∫sec2x dx

Q: - 24) fx cos (x*) dx 26) dx

A:

Q: dy , ify = csc2x2 dx Find

A: Given: y=cosec2x2

Q: c) 2x dx Jo Vx²+1 d) Se* cos(2x) dx

A: C) using substitution method d) using By Parts rule.

Q: Value pro anıp dy - 1 3 -8x-2 , y(8) =- 3x* dx

A: Given that: dydx=13x43-8x-2,   y(8)=32

Q: √81 - y² ST (x + y) dx dy

A:

Q: dy p2 - 9p + 18 = 0 (p = 2) %3D dx

A: The solution is given as

Q: 1- x 5. dx VI - r

A:

Q: dy - ¿°cax-4) .y(5) - D dx

A:

Q: (a) / 1 dx, 1- x2

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: fx cos 2x dx

A: Let's solve given integration.

Q: dy *+ 2xy = 0 dx 6.26. у - 3x4у %3D0

A: The general form of a linear homogenous differential equation is given by dydx+Py=Q. The solution of…

Q: sec?(sec x) dx Q1. Evaluate J2/N3 xVx2 -1

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: fa cos (6x) cos (3x)dx

A:

Q: dy у %3D[3 — [2 + (1 — х)2]3}4 , find dx

A: Given that    y = {3 - [2+(1-x)2]3}4 Here we have to find dy/dx .

Q: luate:J(2x}-1)({3× }-1)dx }denotes. the fractional part.

A: We are asked to evaluate the integral.