Find two solutions of x?y" - 4xy'+ óy = 0. A. None of them O B. Y1 = x° and y = -x Oc.V1 = x and y2 =|x|3 D. Yı = x and y2 = -|x|

Q: sec2 (sec-1 æ) dæ ævx? – 1 2 | Detailed solution, 3

A: Given: ∫32sec2(sec-1x)xx2-1dx

Q: Use one of the formulas in the equation A = fexdy = fc-y dx = 1/2 fex dy - y dx to calculate the…

A:

Q: A = ëx + 3ểy – 2ẻ, B = 4ẽx – ểy Ĉ = -3ẽz – 5ẻ, Ả x =?

A: vector product

Q: Find a real general solution. x?y" – 2y = 0.

A: The given differential equation is x2y''-2y=0. Clearly, the given DE is a second order Euler…

Q: dz and dy dz 3. If x? – 3yz2 + xyz – 2 = 0, find -

A: In this question we have to find the dzdx and dzdy.

Q: 15 L-1 s2 +4s + 13 a. 3e 2t sin3t b. 3e2t sin3t C. 5e2t sin3t d. 5e-2t sin3t

A:

Q: 10. Simplify. Write answer using positive exponents. 2x'y 5 x'y -32 7. -1 25 O A. O B. OC. 25xy 25…

A:

Q: Evaluate using Trigonometric Substitution: 1 dx x/2ax-x² Væ(2a+æ) + C 2ax æ(2a,x) + C ax None of the…

A:

Q: Find the value of each variable. 1. 2. (5x + 12) 50 75 60 (x+30)0 Find'x se that

A: Sum of interior angle of triangle is 180

Q: 7. Determine the roots of y4 + y"" −y" -y+1=0 a. 1,-1,1 b. 1-1,-1 c. 1,-1,2 d. 1,-1, -2

A:

Q: Q53- X--) (xij-Xi - X.j+X)=Zero 13D 「に )に prove that e to

A: We need to prove the given equation.

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

A: Given, the equation sin u = -1, we have to solve this equation in [0, 2pi).

Q: Solve for x: 4x - 4xy +1-y = 0

A:

Q: If QR = y- 10 and SU = y - 17, what is the value of y? %23 U %23

A:

Q: Evaluate: x tan x dx 3 A. – In /2 – 4 32 B. -1- 4 32 V3m _ In 2 – 5 3 18 D. NO correct choices. C.

A:

Q: 2 - ry + y + 1 1 y = +x - 1; y" =

A:

Q: dy 7x - x + 10x + 4 .3 Find if y = DO NOT dx x2 + 6x + 1 SIMPLIFY.

A:

Q: Q/ find the root of the equation by false position y = x3 – 6x² + 10x – 4 ɛ<0.001 for above…

A: Given,  The equation is  y=x3-6x2+10x-4 we have to find the root of equation using false position…

Q: is a solution of y"+ry 0 and write the

A: a) Unifom convergence of power series solution to the differential equation   implies that we can…

Q: B. ty" – (t+ 1)y +y = t?

A:

Q: 4. Find x (x2 + 2x)° 40° (x2+ 12x)°

A: The figure of the circle is given by To evaluate : The value of x

Q: dx 19. S 16+9x² A. tan- () + B습tan-' () + ccot- () + c -1 В. + C 16 16

A:

Q: V2 and x = 150 15. If sin (x + y)

A:

Q: Pr Sulve for x 2/3x -4/+5 =27

A:

Q: y"-16y=0  Find y

A: Given ,  y" - 16y = 0 (D2 - 16)y = 0 We have to find y

Q: Solve the following DE: 1. (D² – 3D + 2 ) y = 4x?

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: - y=(x² +3x+1)*

A: on doing differentiation with respect to x

Q: Find the solution. (Dé+ 9D* +24D² + 16)y = 0. y = c,cosr +c,sinr + (c,+cx)cosr+ (cz+cx) sinx y =…

A:

Q: a?b³ xa³b* (a³b³)2 (x²y)ª x3+ay-1 xªy2a x2a-1 (ab²)¯® x(a³b?)² (a°b2)-

A: We can answer all the three question with proper steps.

Q: 9. (9x + 25) (13x-19)/(17y + 5)',

A: label the points as: A,B,C,D,E,F,G and H.

Q: Determine the value of k that will make y = 2cos(2x) a solution to ky - y" = y. Ok = 5 Ok=0 Ok = -3…

A: Step 1:​y=2cos(2x) is a solution of ky−y′′=y.​Step…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.