iven y' = y – t² + 1, Osts2, y(0) = 0.5 and N = 10. nen, using Euler's method, the approximation of the solution at t=0.6, that is, C0.6)= elect one: а. 1.2205 b. 1.5504 c. 1.4405 d. 1.3304

Q: Given y' =y -t2 + 1, 0sts2, y(0) = 0.5 and N= 10. Then using Euler's method, the approximation of…

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Q: 13. Solve: xCsc² ydy- Cotydx=0, x = T 6. a. xCoty = 7/3 C. Coty = Tx b. xCscy = T/2 d. x = ACscy

A: The given differential equation is xcsc2ydy-cotydx=0, xπ6=π.

Q: Find the general solution.

A: As per guidelines ,we will solve only first question.

Q: In (T-(Tin+ (pvc)) To-(Tin+()) + t (V) = 0

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Q: Let a + 0 be any real number different from 0. If y = f(x) is the solution of y" – ay" = 60 – 60ax,…

A: Sine the statement true for any non zero a so we can choose a=1

Q: Find the general solution of the given DE: y"-y=0. (Use Maple to find m₁, m₂, m3, 1 m₂)

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Q: Find the general solution to t?y" - 13ty' + 49y = 0

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Q: (d) Find M' (e) Find a particular solution to Ÿ = AỶ and write out the general solution.

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Q: b) Use method of variation of parameters to find the general solution to the equation x²y" – 3xy' +…

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Q: 4. Solve: y" - 2y'+y= |

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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…

Q: 3x²=ay² + (1-4x4) dy = 0 (₁ 2. 1 + x³y² +y + xy = 0

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Q: a) L{te3t – sint + cost} =? 1 =? b) L-'s-2)(s2+25-5)

A: a) We have to find ℒte3t-sint+cost

Q: Solve for  x.  Round to two decimal places. −5x2−9x+7=−2   a) x  =  −2.25 ,   x  =  0.45 b) x  =…

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Q: 6. Solve these equations y' (t) - ay(t) = Qet, starting from y(0) = 2: y'(t) − y(t) = 8e-3t y'(t) +…

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Q: Solve the diffevential cauation dy e cesn=0,0 X20:5,46)a. @Milne's methad with h=0.4.

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Q: 2y Solve the I.V.P y'+ =1-, y(0) = yo, then find the value 2 3 of for which the solution touches ,…

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Q: Using the method of undetermined coefficients, determine the particular solution y, for the NHLDE…

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Q: у (9х — 2у) dx - x (6x = y) dy = 0 -

A: Given:- y (9x - 2y) dx − x (6x — y) dy = 0 To find:- Solve given differential equation when x=1, y=1

Q: Find general solution. y" + 4y = 5 sec ² (2+)

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Q: a) Given: y = (x² + e*)(x + 4) derive dx

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Q: Qll Solve the Ivp y'= t = y(o)=0 ز

A: Given:y'=t ;y(0)=0

Q: (2х — Зу)dx + (2у - 3х)dy %3D0

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Q: 6) Solve: x'(t) = 4 -2 2 -2 3 3 -1 -2 -1 x(t) 3

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 1. Find the general solution of ' [1 0 0 00] 3 1 X. 1 -1 -1

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Q: it as a Bernoulm cquaion in the uependeht varlavic A. 0. 2x'y = y(y? + 3x). Solve by two methods.…

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Q: The solution of the following IVP:y' = y³ x ex´ , v(0) = 1

A: The given differential equation is variable separable differential equation of first order. First we…

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.