Find the solution of the initial value problem ty =y+ Vy + 4t, y(-1) = 0 Solve by hand p Select one: lv - Vy + 4t| = 2|4| %3D ly+ Vy + 4t°| = 2|t| %3D ly+ Vy +4t| = 21 ly-Vy' + 4리 =21 %3D none of the given answers

Q: = Find the solution of the following Bernoulli's equation: dy x+y=y²x³ Inx dx

A: The Bernoulli equation is as follows:To Find:The solution of the above differential equation.

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

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Q: Question 2 Consider the equation 3xy + y? – 2x = 1. Find dy - dx Зу— 2 За + 2у - O 2– 3y 3x + 2y Зу…

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Q: 2. ye*dx + e*dy = 0

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Q: Solve the following 2nd order equation using the variation of parameter method: 1. y" - y = e" 2.…

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

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Q: 1. Find the general real solution for the following di a. r -8r"-9r 18 %3D

A: As you asked solution for part "a" of the question no. 1 , So the solution is given as

Q: find y' if y 43 -2 = 2 2m² +5c8cm) (3 cotm-m² 3Гm + cosm

A: We use  Power rule ddxxn=nxn-1 ddxcscx=-cscxcotxddxcotx=-csc2x

Q: -zy=0

A: Topic- Differential Equation

Q: How can you solve this problem?  walk through step by step

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Q: (2x + 1)(x – 1) dr 9. 3x + 6 d.x 2.x3 10. | (20 – 1)(x² + 5)dx 17. - (3x – 2)2 - 18. 4x

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Q: Find y'". 8. 69 y x +6x y"=D

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Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Ex. (9) Sol:- Solve 3y"-2y'+y= 4x+2

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Q: 7. (2x + y + 1) dx + (4x + 2y + 7) dy = 0

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Q: 1. х2у" — 20у%3D 0

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Q: Q5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª. (b) у" — 2у/ + 5у…

A: We are entitled to solve only one question at a time. As the specified one is not mentioned, So we…

Q: 1. Use the variation of parameters method to solve the equation y" + y = secx.

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Q: Question 1 h (x, y) = 2xy + 3x² + 4x³y² +8 What is the value of Əh(x,y) dy when x = 2.2 and y = 3?…

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Q: General Solutions (D2+2D+2)y=5cosx+10 sin2x

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Q: solve: [x X2 X3 Б 1 0 002-20 X1 0-1/2 0 140x₂ 0 00 01 0-1] LxS) ха 0 -12 + +2] 3et+ - 1/4 0 0 with…

A: As per the instruction, we will be answering the part (b). For (b), We are given the following…

Q: Solve the following equations: 1. (D-D2-2D)y = 0 2. 4Dy-13Dy + 6y = 0 3. D'y - D'y – Dy + y = 0 %3D

A: On solving ist three questions we will get

Q: Solve item 1 only. Find the general solution. Note: Use y" and y' as forms of terms, not dy and dx…

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Q: D. Multiple Choice 1. Given: [(4x + 3)²D² - 12(4x + 3)Dx + 64]y = 16[(4x + 3)² sec² (In|4x + 3)],…

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Q: dy Solve dx (3 minutes) -3y3--3 a. +C 1 Ob. 3y 3 = 3x 3 +c Oc. 3 3 +C 3

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Q: 2 Find the general Solution of yty = 2xcosx -CosX %3D

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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.