9. (x + 3)2 = -12(y – 1)

Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

A:

Q: 17. y"-5y6y=t² + 7, y(0) = 1, y'(0) = 0

A: For an initial value problem with boundary conditions available, we have to convert the given…

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: ) xy' + 4y = x², with y(1) = 0 2) y'- -

A: We shall solve first question only per answering guidelines. For others please post again by…

Q: 7) Suppose y varies directly with x. If y=2 when x = – - what is y when 2 X--0.3?

A: Given the data :

Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

A:

Q: 7. (D² - 2D + 2)y = 0 8. (D² + 9)y = 5e* - 162x 9. (D² + 9)y = 5e% - 162x?

A:

Q: 31. If 9x² = y(y – 3)², show that (y + 1)² ds - dy². 4y

A: We know that Given Firstly, we find dx in terms of dy

Q: 3. zy if y + x² – 3xz = 222

A:

Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: 2. у"- Зу'+ 2у-е" when y(0)%3D1 аnd y'(0) —0 3t

A:

Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: The given equation is z=y3-24-2y3 The objective is to find dzdy. The product rule for derivates is…

Q: -12 XY and y=-S whenxe4

A:

Q: what is perpendiclar to AX+y-5=D0 and contains points (2,3)(-212)

A:

Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: 15.f mOT-(27+ 3)', mRT- (9x – 5)" and MRST - (10x-2), find mi.

A: Given,         QT⏜=27x+3° , RT⏜=9x-5° and ∠RST=10x-2° .

Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

A:

Q: 4-y² 2-y SŠ *-* zdxdzdy

A: Given:  Let I=∫02∫04-y2∫02-y z dx dz dy To Find: To evaluate the given triple integration.

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: 2. = dy (-5x + y)² – 4

A: We need to solve the differential equation by substitution.

Q: 3. x + y = 20 y = 5x + 2 6. 4x - y 5 y =- %3D 4x + 1 %D 9. 5x---16 4y %3D 12. 10x 2y 9.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

A:

Q: у" + Зу" + Зуy' + у %3D 30 е -х

A:

Q: 2, y(t) = 4t – 6 y(t) = t - 5 5, y(t) = 4t (t) = 4t – 5

A: We have to choose the correct answer

Q: 2) Find of y = क सम्माय 2) r*+1)(2x+3)

A: Simplify the given expression and take log on both sides.…

Q: b) 4y Sx+8 x+ y 22 y > 2x-5 z 4x+3y

A: Consider the given function: Here the objective is to determine the coordinate of vertices of the…

Q: 3 (x²-2y+xz) dydzdx = 0. -2 1

A: see 2nd step

Q: 3 If y=/xL5x²_36 x²_3x²+Yx-12 (3 14 shuw that dy 24 dx4

A: firstly simplifying these expressions then , use the concept of differentiation

Q: 12e* 10) y"-2y'+y =-

A:

Q: Using the principles 2y. -3y + y = 5-3" Vn20 where y=1 and y₁=1

A:

Q: π 9- y² dy y 2 π 6.

A:

Q: y = 2z3 [tan(3z+1)] a + xy – y5 = 8x? y = (x + 3)² (x² – 2)

A: You didn't mention what should I do with the given equations and this problem is posted as calculus.…

Q: 1. y+ /x + y = 2x at ( 2, 2)

A: Follow the procedure given below.

Q: Suz z², Y > x², y + 2x – 3 < 0

A: The given system of the inequalities is: y≥x2,y+2x-3&lt;0   The equation y=x2 represents the…

Q: VAy 5-y-z 15z dz dz dy 2y2 2-y-

A: SOLUTION-

Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

A: topic - equation of a line perpendicular to given line

Q: 2х — 7у — 9z %3D-16. y +s +t

A:

Q: (2z–1)dz S 2z2 –6z+5

A:

Q: 9. For Ax) = -4x+2, find (x) when x==1. %3D а. С. 2 b. -2 d. 6

A:

Q: 2.3 - y 5e2, with y(0) = 0 and y'(0) = 1 %3D

A:

Q: 2 lim y→7L_– 4y – 21 3y Зу — 17у — 28 -

A:

Q: 8. So dt V5+r²

A:

Q: 3) y=--x - 1 | 1 y =-x-4 4 Ay 5 4 3 -2 -2 -3 Answer:

A: follow the  next step

Q: 2) 2 dy +9 = 0, y(0) =-3

A:

Q: dy 6. S: y3-2y2

A:

Q: 4 Q1: If y = (x4-3x2) x5-3Vx3+Vx find y' 리x2-2

A:

Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

A:

Q: Evaulate: •2 •1 px+y (2y)dzdydx 0 Jo Jo

A:

Q: 2r + y – 2z = 12 47. {-x – y + z = -6 3x + y – 3z = 18 %3D

A: Problem 47: Dependent equation is said to be dependent when the system of consistent has many number…

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.