(2) I=Stan2x

Q: (m) For ro = -8, 11 = -7, 12 = -6, 13 = -5, I4 = -4, f(z1)Ar,

A: Given

Q: 23) 4у" - 8y'+5у%3D0, y(0) = 0, y'(0) = 1.

A:

Q: to d. 1 2/3 60% 4 61° °, mz2 = °, mz3 = %3D mz1 =

A:

Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: 2 2 dydx Әхду

A: Given: h(x,y)=4xey+3y+7

Q: Find Hhe (imet 3. 3. im +y²+xy

A: Explanation of the answer is as follows

Q: hy is x1 a free variable, and why does it become equal to 1?

A: We obtained x=x100 where x1 is free variable. by the way we haven't assigned any value for x1 here ;…

Q: 21, (-2ナVータ)+(-1-V-3) 7ーVーT)- V-SI 23.

A: Solution: The objective is to find the values of the given equations

Q: 4 (a) s(-) = -2x + -4x +3x (b) s(<) = 2x° + (c) s(2) = -2(x - 2) (*+ 4) %3D 2.

A:

Q: (1,6) and perpendicular to 2x+7y=1

A:

Q: b) - 2y dy

A: Integrate the following.      ∫y4-2y-4y-2dy

Q: Solve the Cauchy problem y'

A:

Q: =2x, 0Sx<2 is

A: f(x)=2x, 0≤x≤2

Q: ll LTE 4 12:04 1 A oncourseconnect.com AA 10 of 11 Find the value of y. Y 24 12 y = II

A:

Q: Sketch Z= 2x^2 + 3y^3

A: Given, Z=2x2+3y3 To find: Sketch the plot for Z

Q: 2 2] 2. Solve for x, y and z. -5 6

A: We will solve the problem

Q: find ŽYeti 4 Yk = X %3D Yuti -B 11 Yktz = +2x8 %3D + 3828 て-) さ4 you = La-B)*

A: In the given question we have to write the series ∑ i=0∞yk+1where yk,yk+1,yk+2,·········so for the…

Q: 3. 31 √ √(²x- (2x - 4y)dydx 1 -1

A:

Q: 4. If the mz1 = 8y-24 and the mL3 = 100, then what is the value of y? %3D

A: m∠1 = 8y-24 and m∠3 = 100

Q: x = 4 y = x' |(2, 8) y = 8 y = Vx (4, 2) Figuro 1

A: Solution for question a: In figure 1 the region is bounded x=y2,the x-axis, where 0≤y≤2 The formula…

Q: Convert x=2y-y^2 into y=?

A:

Q: Find all the separable solutions to the equation 0 0 и, (0, г) %— и,(1,1) 3 0, г>0. Ин — ихх + и…

A: In the given question we have to find the solution of the given non homogenuous wave equation s.t…

Q: Give the general solution to the equation x' Ax where A %3D %3D 3

A:

Q: Qil If y , Show that y=2x- 2y3

A:

Q: X, t 2 X, < 22 X,t 3, 2x x, Z12 + 2xa=32 maxlimzed by 2=5x, t10x2

A: The solution of given linear programming is given by using graphical method :

Q: 2. xy2 = 6 at point (6,1)

A: Follow the procedure given below.

Q: 1, z2ー

A:

Q: 24. f(x, y) = In(x² + y)

A:

Q: Solve S(y + 1) + S(2y -5) = 3

A: Given equation: y+1+2y-5=3 Concept: Here we shall first remove the root by squaring both sides.…

Q: 1. уд y = 5x -x y=Vx+2 (4, 4) X= 2 y x x+1 y = 1 2.

A: "Since you have posted multiple figures, we will answer the  questions 1,2 and 3.  If you want…

Q: 13. -(р — q) -рл-а 14. (р — q) л(р — г) %3D р — (q л г) 15. (р — г) л (q - г) %3 (pvq) — r

A:

Q: 4 + 2y - 16) dy =

A:

Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

A:

Q: 1. Find XY when X(-7, 10) and Y(3, 4).

A: GivenX≡-7, 10Y≡3, 4To find XY

Q: 3 13. Evaluate x2 Vx + 2 da -1

A:

Q: what is the solution of equation 2ydx + (2xlogx - xy)dy = 0

A: Given differential equation is. 2ydx+2xlogx-xydy=0

Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

Q: (1 + x)5 (x + 2)10’ If y5 = ,and (x = 1, y = 2) y will be equal to?

A: 5y4 y'= 121(1+x)5(x+2)10 ddx(1+x)5(x+2)10            =121(1+x)5(x+2)10 (x+2)10…

Q: 8. So dt V5+r²

A:

Q: For a second example, consider fk = 3k3 + k – 1. We have Afk = 9k² + 9k + 4, A² fk = 18k + 18, A³ fk…

A:

Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

A:

Q: 12. Find the antiderivtive: 9x°- 6x -2

A:

Q: UH = 19 FH = 5x-7 H. E %3D U

A: Given - A parallelogram(figure) To find - Value of x in the given figure

Q: 16 2 2 dz dy da + y? 0.

A: We have to write the given integral into cylindrical coordinates.Let x=r Cosθ       y=r Sinθ…

Q: 10 1 y = 5 dt y(0) = -1 = 2 ot

A:

Q: 3(xn)2+8 7 : If xo = -4, find x2 corrected to four %3D

A:

Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

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.