EX. Use Euler's method (moditied) t appro y' = x+y for y C1) = 1 ; h =0.1,13XL2 Ư the açcuracy of E = 10) %3D (€%3D10

Q: ydx + (2x +3y)dy = 0 %3D

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Q: (х + у+4)dx+ (x + у—3)dy %3 0

A: The differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact if there exists a function f(x,y)…

Q: 1. xy(dx – dy) = x²dy + y²dx

A: Differential equation

Q: Question 2 Find dy at x=0 for each part below. dx x sec (ax+) a) (here the answer should be in terms…

A: NOTE: Since you have posted multiple questions, we have solved the first question for you. If you…

Q: Find 11 circular arcs. a. f(x) dx for each graph of y = f(x), where f(x) consists of line segments…

A: Part b of the question has been solved as per the requirement of the student.

Q: Using the Trapezoidal Rule, an approximate value of 5 V(x + 3x)dx with 5 ordinates, correct to one…

A: Consider the given integral.

Q: H.W: Solve B.C Ans. سے لے 2 dx² y = X dx X² ylı)=1 = y(2)=2 Use h=0₁/ y (1.5) = 1.481159 + Sin(Lnx)…

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Q: 2. Find P.S. of when y (2x²-xy +y ²) dx − x²(2x-1) dy o y = 1/2. X = /

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Q: Two light sources of intensities I1 and I2 are L units apart. Find the point on the line segment…

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Q: iv) if zy = (x) then z, + Zy = 5 mark

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Q: The graphofy =x + 1 intersects the graph of y = 5cos(x- 5 at point A in 4. the first quadrant By…

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Q: Examplei- Let F 4)= tittjt Sintk then find a)

A: Given,           F→t=ti+t2j+sintk

Q: 3X (02-60,9)y=e" (x+2) %3D

A: Given differential equation is  (D^2 - 6D + 9)y = e^3x(x+2)

Q: 12. (D²-3D+2) y = e²x/(1+e²x). 12 (D2 201

A: 12) Given differential equation is  (D2 - 3D + 2)y = e2x/(1+e2x), we solve that problem by method of…

Q: Vx2-1 dx

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Q: (2xy + x² + x*) dx – (1 + x²) dy = 0. ANS. y = (1 + x²)(c + x – arc tan x).

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Q: 3. Use Euler's method to approximate the value of = -2x³ + 12x2 – 20x + 8.5 from x = 0 to x = 4. The…

A: As per our company guidelines, we can solve first three parts for you. If you want other part to be…

Q: Which of the following is the actual du when integrating / dx? ¿xpt 2x dx a. 2x-4 b. x²dx c(2x 3 –…

A: Given: The integration ∫x22x3-4dx, To determine: The actual du when integrating the given…

Q: 17. y + 3x = x2 %3D - 1 0 1 2 3 y (x, y)

A: Consider the given function. To plot the points we first of all have to put the value of independent…

Q: what is paralllel the y=-0.8x

A: Given data, y=-0.8x

Q: d'y dx² when x = 2 and y = 4. If 4x² + y² = 32 then evaluate (Answer accurate to two decimal…

A: Given:We are required to find:

Q: Q1. If Z - then z-1 %3D a. z1=+ b. z-1 =- +i c. does not exist d. z-1 = 1 – 2i

A: A complex number is defines as z=a+ib where a and b belongs to the set of real numbers. Now, find…

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.