2xỳ = (ỳ)² - 1

Q: y2-16y +28=

A: Topic:- algebra

Q: Find dy/dt.

A: Given, y=9-4x3+2x; dxdt=-1,x=-3 To find dydt

Q: y - 4z = O X + y -4z = 0

A:

Q: Зх +8 (y-3x) dydx y + 5x —1 ) — 5х (y – 3x)"

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Q: y" + 2y' +y = e-*

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

Q: y′′ + 2y′ − 8y = 2e-2x − e−x , y(0) = 1, y′ (0) = 0.

A:

Q: y= (2xy + 3x2)ē+ (x² – 2yz + 2y)ē, – (e² + y²)e,

A:

Q: y= (2xy+ 3x²)ē+ (x² – 2yz + 2y)e, – (e² + y²)ē

A:

Q: y" - 10y' +9y=e⁹t ;y (0) = 1, y' (

A: Given,           y''-10y'+9y=e-9t; y(0)=1, y'(0)=1

Q: B. Find the first and second derivatives of i- y =-10x+3cosx+(2x+3)(5x-4x) 5x+1 ii- y= 2x

A:

Q: 1) y = Vx -1

A: According to our guidelines we are suppose to do only one question . Kindly repost other question as…

Q: y''-3y'+2y=5e^3x,y1=e^x

A: Reduction of order is a very significant and basic method to solve higher-order linear differential…

Q: y' = 2x + 2y +1 3x +y -2 ty

A: Given differential equation y'=2x+2y+13x+y-2. The objective is to solve the differential equation.

Q: 2. x y-3xy = 4x + y+1 at (0, - 1)

A:

Q: +4x 6) y' = Ans.: y-x =e +C. 3y - 2xye"

A: According to the guidelines in case of multiple questions we are only allowed to do first question,…

Q: y²-6x²y=-9x ; y' at (1,3)

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Q: y-HY + 3Y=0

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Q: 2y´´-5y´+3y=0   y1=e^x

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Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: у" + Зу" + Зуy' + у %3D 30 е -х

A:

Q: (2xy s) 10x*y Sx*y (-243x*yy

A: Due to our guidelines I am solving only first three parts plzz repost other question.  1. (2x5y3z)2…

Q: ² x²-y2 2 X-Xy -y

A: Given function is:…

Q: x²dx 1.J JA-x² V4-x²

A: We have to solve the given integral.

Q: y"' + 3y" + 3y' + y = 30 e-*

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Q: y"+ 2y' +y =e* x-

A:

Q: (x4 - 4x²y²-y4) dx + 4x³ydy = 0; when x = 1, y = 2

A:

Q: y - x = 3 y =- 4x – 2 y=-X+3

A: Topic = Coordinate Geometry

Q: y''-3y+2y=5e^3x,y1=e^x

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Q: 4 X ~Y -Z -Zx+6y+2 =9 こ 4イ X -

A:

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

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Q: z2 – x² – y2 = 1 %3D -

A: We have to sketch the hyperboloid.

Q: find ƒx , ƒy  . 1. ƒ(x, y) = 5xy - 7x2 - y2 + 3x - 6y + 2 2. ƒ(x, y) = (xy - 1)2

A:

Q: Solve the system of linear equations.

A: System of linear equations

Q: + d²z Oy2 = 0;

A:

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

A: Follow the procedure given below.

Q: y"-2y'+y = e* Inxr

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

Q: x +y - z = 0 2х — Зу + z %3Dо х — 4у+ 2z - 0

A:

Q: ly₁ dr dy₂ 2t = y₁ + 4y₂ + e¹t - e²t = y₁+ y₂ +t+2

A: given  :         dy1dt=y1+4y2+e4t-e2tdy2dt=y1+y2+t +2 We have to solve the given system of…

Q: y" - 3y' + 2y = 5e³*; Y, = = e*

A: The differential equation y''-3y'+2y=5e3xwithy1=ex is the one of solution of associated homogeneous…

Q: 2xyy' + (x – 1)y² = x²e* |

A: We need to find the general solution of the given differential equation 2xyy'+(x-1)y2=x2ex The…

Q: y" - 6y' +9y = e", 3x У (0) -1. у(0) -0

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Q: ( 1 - x2 )  y'' - 2xy' + 2y = 0   ;  y1 = x

A:

Q: d) y" -ry +3y = 0 %3D

A: Using power series method.

Q: 1) ys-x- 2 y2-5x + 2

A: Since you have posted multiple questions so according to our guideline we will solve the first…

Q: y'- 4y + 4y = x(2e²× + xsinx)

A: The given differential equation is                    y''-4y'+4y=x(2e2x+xsinx) ⋯⋯⋯ i The…

Q: x+y-z=6,3x-2y+z=-5,x+3y-2z=14

A: Given equations are: x + y - z = 6 ............................ (1) 3x - 2y + z = - 5…

Q: 1.у %3D 5e2x 2. y = ex²+2x-1

A: The variable y' represents the derivative of the function. Differentiation of the function helps to…

Q: y'(2y - x exY) = 2 +yexy

A: Given that:

Q: x - 1 = λχ y = 2 = λy z = -λz (x² + y² = z² = 0,

A:

Q: 5. (2xy² – 1)* – 3x²y³ – 1 = 0, find y' -

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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.