Solve by any two methods if it possible if not explain why not. (D + 8D2 -9)y = coshx – sin?x

Q: 8. The general solution of y" + 4y = 3 sin 2x

A:

Q: Solve the equation: cos z = 2.

A: *By Bartleby policy I have to solve only first one as these are all unrelated & lengthy…

Q: Solve the problem. sin x dx,n = 8

A:

Q: Use the Method of Undetermined Coefficients to solve y′−(y/2)= cos(2x), y(0) = 1. Put your solution…

A: y'-y2= cos(2x) -(i)The homogeneous DE isy'-y2=0.·. D-12y=0Where D=ddxThe auxiliary equation…

Q: Solve the equation in the interval [0,2pi] (sin(X))^2=1/16

A:

Q: Solve the equation 3 sin? 2x = cos2 2x for 0° < x < 180°. %3D

A:

Q: The equation y = C₁e(-x) cos3x + C₂e(-x)sin3x is the general solution of:

A:

Q: у" + 2у" + у" -D х + ex

A: Given the differential equation y'''' + 2y''' + y'' = x+ ex We find the particular solution form  by…

Q: solve et (l-t)? with y coJ=2 and y'Co)=6

A: We have to solve

Q: 2. Given 0<0< 2T, solve 2 csc = 3 csc 0- csc 8 sin 0. 3x

A: Given query is to find the value of theta.

Q: Solve the equation 6sin2x +7 sin x + 2 0; x E [0, 27] %3D

A:

Q: Solve the equation on the interval 0s0<2r. 2 sin e +6 = 7

A: Given equation is 2sinθ+6=7. To solve the equation in the interval 0≤θ≤2π. Solution: Solving the…

Q: cosxsin?xdx Solve using algebraic substitutionf V1+sinx

A: We have to find Integration using algebraic substitution.

Q: 3. sin°x dx 9. S coSX

A:

Q: | What is sin²(20) d0?

A: From the given problem:   I=∫0π4sin22θ dθ...(1)   As we know that:   sin2θ=1-cos2θ2=121-cos2θ So,…

Q: y" - y = sin? x Using the method of indeterminate coefficients, solve the particular solution of…

A:

Q: snip

A: Given: tanθ-π2=1, 0≤θ&lt;2π To Find: To solve the given equation.

Q: Solve the equation 4 cos2 x = 3 on the interval [0, 2π).

A: Given: The equation 4cos2x=3, To find: The solution of given equation on the interval [0,2π).

Q: . 1. If y = sin

A: Given that, y=sinx3 We have to find y''. Differentiating y with respect to x we get,…

Q: (D² – 2D + 5)y = e* cos x

A:

Q: 3. Given 0 < 0 < 2T, solve 2 csc x = 3 csc 0- csc 0 sin 0.

A:

Q: Solve the following equation using method of undetermined coefficients. y(4) + y"= 3x² +4sinx-2 cos…

A: Given :  y4+y3=3x2+4sinx-2cosx      ......(1)  solve this by method of undetermined coefficients.…

Q: In which form should one look for the particular solution of y" − 2y + 2y = x²eª cos(x) (you do not…

A: Given DE is  y"-2y'+2y=x2excos(x) ......(1) We find form of particular solution of DE (1).

Q: Solve the equation: 4 sin2 x - 1 = 0, 0 ≤ x &lt; 2π.

A: Given that: The equation is 4 sin 2 x - 1 = 0 , 0 ≤ x &lt; 2π .

Q: 口 3. Given 0 <0< 2T, solve 2 cscr 3 csc 0-csc 0 sin 0. 3x

A: NOTE: The correct equation is "2cscθ=3cscθ-cscθsinθ" for 0≤θ&lt;2π. We have to find the angle θ…

Q: V2 Find all solutions of the equation sin x 2

A:

Q: 11 cos 2

A: (f) Given cos-112, here θ=-112o Here angle is negative  so the angle drawn is  taken clockwise as…

Q: 2ª + e2" sin(2ª) dx sin(2ª)

A:

Q: y" – y = sin? x Using the method of indeterminate coefficients, solve the particular solution of…

A:

Q: Find all solutions of the equation: sin x = -√2/2

A: Given: sinx=-22 for finding solution of given equation, first we simplify it and find solution of it…

Q: Solve the equation for solutions in the interval [0, 2π]. cos2x=3/4

A: cos 2x = 3/4 , [0, 2π] We need to solve for x

Q: Solve by the method of y" +3y' - 4y = - 34 cos x

A: Given, y"+3y'-4y= -34cos x

Q: (iv) COS x -dx, 3.

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: K0<2T, solve sin 6

A: The given trigonometric equation is;  sinθ=1; given 0≤θ≤2π

Q: Given 2 sin 2x – V3 = 0, a. Write the solution set for the general solution. b. Write the solution…

A: Here given as 2sin 2x=3sin 2x=32   (a) Thus it solution set is π6+nπ: n∈ℤ∪π3+nπ: n∈ℤ

Q: 8. The general solution of y" + y = 2x sin x

A:

Q: Find a general solution to the given equation. у"" - 5у" +7y' - 3у%3D2 е -Х+ sinx Write a general…

A: To find The general solution of the given differential equation

Q: Find all solutions of the equation 2 sin x V3 = 0 where 0 < x < 2T - The answers are

A:

Q: Solve the equation sin 2u = 1, for 0 … u 6 2p.

A: To solve the equation for 0≤u≤2π, sin2u=1

Q: V2 sin x = 1

A: To solve the given equation: 2sinx=1

Q: How do I solve this equation for x? sec(2x+6) cos(5x+3) = 1

A:

Q: Applying the method of undetermined coefficients, solve y" + y' + 8y = (10x² + 21x +9)sin 3.x + x…

A: Given differential equation, y''+y'+8y=10x2+21x+9sin3x+xcos3x To find the auxillary equation,…

Q: Find all solutions if 0° &lt;= u &lt; 360°. Verify your answer graphically.     sin 2u =- Ï3/2

A: Given, sin2u=-32,0°≤u≤360°

Q: Q3/Solve the non-homogenous equation 3x³ + 1 = cos(2x-1)

A:

Q: Q Is the equation e sin x + x - 2 0 has real roots?.

A: The location of roots theorem states that the properties of the continuous function has both…

Q: y" – 7y' + 6y = 2 sin

A: According to the given information, it is required to determine the general solution of the given…

Q: 3. Solve these equations using whatever methods is most appropriate. Explain in words what method…

A: a) cosx-5=3cosx+6b) 7cosx=4-2sin2x

Q: Solve the equation

A: Here , we use the result shown on board.

Q: /9-4х2 dx (Use Trigonometric Substitution) x2

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.