e-5t cos 2t+ e4t -1} =

Q: (xy^2+y)dx -xdy =0

A: Given: (xy2+y)dx-x dy=0

Q: 2 cos^2 x-sin x -1=0

A: 2cos2x-sinx-1=0⇒1-sinx-2sin2x=0⇒sinx=-1, sinx=12⇒x=3π2+2πn, x=π6+2πn, x=5π6+2πn

Q: Wie the ouatratic formula to sol -2y=3y^(2)-1

A: Given, Quadratic equation is  -2y = 3y2 - 1

Q: 2x'+4x-6-0

A:

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: tan x/4 + V3 = 0 Solve graphically in [-27, 2n] %3D

A: We have given that, tanx4+3=0;   -2π≤x≤2π Let us consider that, y=tanx4            ⋯⋯1y=-3…

Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

A:

Q: (D-00-60)2 (2x +) COS

A:

Q: xe* dx J, (1+ x)²

A: ∫01 x ex(1+x)2 dx

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: cos( 2 cos (x/ 12)) = Select one: O None O 24 x / ( 144 + x²) O 2x ( 144 - x² )º.5 / ( 2x² - 144 )…

A: Given cos(2cos-1(x/12))We know that 2cos-1(u)=cos-1(2u2-1)Here upon comparing u=x12

Q: 는(csc-1(324)) = d SC dx

A:

Q: cscx−sinx cos²x CSC X =

A: We need to prove that cscx-sinxcscx=cos2x

Q: +2 y = 3e" cos 2x -2

A: Solution

Q: Solve the equation 2sin^2 x = 2 + cosx. Determine the solutions on the interval [0,2pi]

A:

Q: Find the solution. (403+12D²+13D+10)y = 0. @ y=c,e+e>(c,cosx + c sinx) +c,sinx) -3x y =…

A:

Q: Cos (-x)= - Cosx

A: Let, cos-1(-x)=yThen,-x=cosyx=-cosy

Q: f(x)=2cos^2 x-1 , 1-2sin^2 x , cos^2 x-sin^2 x and cos2x Make a comparison of the four expressions

A:

Q: 3t CoS cos ut}

A:

Q: Solve sin - () 2 dy = x + y

A: We need to use substitution method to solve this differential equation

Q: Evaluate les-). d 3x dx OA (3x³- x?)e3x²-x?-1 O A. ² – x² – 1 OB. O B, e oc (9x² - 2x)e³x³-x? OC.…

A:

Q: x° +4x dx x* +3x +2 4

A:

Q: 2х + 4 -dx 2x2 + 21х + 34 -2

A: Given: I=∫-252x+42x2+21x+34dx For evaluating given integral, we simplify it then integrate it So,…

Q: -1 sedx- cos(

A:

Q: 5(3х-1) dx sec ( 3x²-2x)

A: On doing integration we will get

Q: cos^2(3x)+4cos(3x)=5   give all solutions such that x [0degrees,360degrees]

A: