lim 2h - 3h2 +h+10= %3D О а.3 O b. 0 О с. 4 O d. 5

Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

Q: 3 y=-3 x=- √√9-y² V25– x – y’ dxdy=

A: The given problem is to evaluate the given double integral in Cartesian coordinates. We have to…

Q: 3) Evolvate Ci(0) e²/z dz е

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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: 6. S -3dy 2y2+14y+70

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Q: Vye-y" dy 2.

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Q: (D² + 1)y= sec² x csc x

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Q: x² + y² = 7 X=7 O igular (solve) x² + y² = 49. - Option 1 O

A: Given that r=7  r2 =49 let x= 7 cos(theta) y=7 sin(theta)

Q: iv) E[E[Y²|X]]_ (EY)²

A: Note: As per you request, we have helped you solve only Part (iv) of the question.

Q: QI// Solve y2-5y+6 b) lim y-2 y-2

A: Factories the numerator and cancel out the common from denominator and put the limit and simplify.

Q: 3. Solve y" + 2y + y = U(t-1) + 6(t-2), y(0) = 0, y'(0) = -1.

A: Some of the properties of Laplace transformation are ,…

Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: y'" — 7y' — бу = 0

A: Solution :- This higher order differential equation can be solved simply by using complementary…

Q: Evaluste for 2: 0SIS1,0Sy s3. dr dy .

A: The sum rule of exponent states that ap+q=ap·aq. Use the sum rule of exponent to simplify the…

Q: (x) y(2) =4 %3D

A: We will use the given condition to find the solution of the given differential equation

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: yV + 16y = 0.

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Q: 1. z-19 = 34 Work Solution 2. x+ 13 = 7 Work Solution

A: we know that, linear equation in one variableis the basic equation used to represent and solvefor an…

Q: /2x – y – 2 (b) lim (2r – y + 4) (1,y)-(2,2) 2x – y – 4

A: We can directly put the value of (x,y) if denominator is not becoming 0. Or else, we can choose a…

Q: Solve.' y'- 5y y°e* - xe ニ CS

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Q: | 2x²+ 4x- 5 x(x² +6x+10)? * To solve | -dx using the method of partial fractions, we write it as

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Q: (2x+1)y' =e", with y(0)=0.

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Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: Solve for x and y. X = y = 17 1 5x + 20 5 [723]-[2725231 2y 1

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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: y" - 2y' + 2y = e'cscx

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Q: gA y = 2sgn(x+2) san • %3D

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Q: V2x-x2 SS2*-*" (x² + y²) dydx

A: Changing cartesian to polar coordinates: x2+y2=r2x=rcos θy= rsin θ x ranges from 0 to 2y ranges from…

Q: .Particular solution of ODE (D4 + D² – 2)y = e* + 2 is

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Q: 1. t23 Work Solution 2. 16x| 14 Work

A: NOTE: Refresh your page if you can't see any equations. . apply absolute rule  so here we can write…

Q: y" + a1(x)y = 4 sec²(8x)

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Q: y" + 3 y" + 2 y = (x+ 1)e²". %3D

A: We have to find general solution of given differential equation.

Q: 1 duce to lowest terms : -2 B. x+1 x² - 4x +4 x+2 х-1 x² - 3x +2 x+2 D. x+1

A: We need to reduce the following expression to lowest terms x2-4x+4x2-3x+2

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: h 4 (b) Lim h→0 V5h + 4 – 2 5 ||

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Q: Find the particular solution 3у %3 х3 — 2ху; when x %3D1, у %3D1. = x 2xy; when x = 1, y = 1.

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Q: HiW.2 DE solve y=ソ-4y A.e |-4y

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Q: 1) y" + 4y = 4 sec (2x) 2) y" + y = csc(x)

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Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

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Q: Find the initial value of the relation y = 3(x+3)² + 7

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Q: dydx x² +y²

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Q: S sec 2ydy

A: Topic:- integration

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: 4-y² ²) dædy 2 2

A:

Q: Solve y"(t)- 2y' (t) + 5y(t) = H(t); y(0) = 0; y'(0) = 1; where H(t) = (t+2,0 ≤t <2 2t - 3,122

A: We have to solve by Laplace transform.

Q: . lim 4y9 + V y--00 /y18 – 1

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Q: 3 1 (x + 2y)dydx -1 a) 5 b)7 O d)-:

A: Please check step 2 for solution.

Q: y'+ 3 y = 4 x y(0)= 3 Y(x)=|

A: We can solve the initial value problem as below.

Q: solve for x and y: xy-x =0

A: