solve the following using variation of parameters: y"+9y=1/4csc3x

Q: Solve the following by linear equation of order one: dy - (x3 - 2xy) dx = 0

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Q: find the seril solution of the equation y``+  4xy = 0  at the neighborhood of the  point  x0 = 0

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Q: Solve the following using exact equation or linear whichever is applicable. (x + y) dx + (x − y) dy…

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Q: Solve the following equation by separating the variables: (4y + yx²)dy – (2x + xy²)dx = 0

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Q: By using an appropriate substitution, solve the equation x'dy+(xy+2y² )dx=0

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Q: Solve this Di fferential equat ion by applying (Variation parameters) y+y%3DSE c x

A: The given differential equation is y''+y = sec x

Q: y = [e2* + (x + In x)³1* %3D

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Q: Solve the following DE x y" – 4y' = x e"

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Q: - X ý mý ry = ē Inx ( Variation of Parameters)

A: We have to find the general solution of the given differential equation y''+2y'+y=e-xlnx by using…

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: Solve the following SLP y" + ly = 0 y(0) = y(1) = 0

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Q: Solve the following DE using variation of parameters (D2−1)y=ex+1

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Q: Obtain the general solution to the equation. 5. dx + (x – v²)dv = 0

A: Given that: dx+(x-y2)dy=0

Q: Solve using the method of variation of parameters: y" + 4y = sec X. %3D

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Q: x2 +1 3. xe dy + dx = 0

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Q: Use the correet fransformation to Find the solution of the Problem below. 一00<Xく00 0< Y<1…

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Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: dy et-y dx 2.

A: The given problem is to solve the given differential equation using separation of variables method.

Q: 1. (x + y) dx + (:

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Q: 2 ydx + x(x In y – 1 )dy = 0 %3D

A: Given that: 2ydx+x(x2lny-1)dy=0

Q: E=メ (x)NIb=R TANGET Nge of EQUATION 12)

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Q: Given: f(x, y) = x³y – y cosh xy Solve for D132

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Q: x(ху — 1)dx + dy %3D0 (Non-exact)

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Q: Find the devivatives of the following equation b Y= ln (x,4)-x fori CH/2)

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Q: d?y 2x + 2y = x*e* dx2

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Q: Solve the following 2nd order D.E using variation of parameters method: y'' + 2 y' + y = e^(-x)

A: The non homogeneous differential equation is given as y''+2y'+y=e-x Corresponding homogeneous…

Q: Which of the following plots best represents the solution with the initial condition A(0) = $1mil?…

A: Given data:   The given initial condition is A(0)=$1 million.   The initial condition can be written…

Q: ty" – (t+ 1)y' + y = t?

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Q: 2. Solve the following DE x y" – 4y = x e

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Q: Solve the 2 dy JX Following initial value proble x-2x 4 + T XI 4

A: We have to solve the given initial value problem.

Q: Solve the following Homogenous Equation (3x2 – y² )dx + (xy – x³y¯1)dy = 0-

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Q: Use the method of variation of parameters to solve. y" + 4y = 8 tan t - "/2<t<"/2

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Q: Solve the following: (7y + x) dx = x y dy

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Q: Solve the following DE • X – dy =2

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

Q: (b) Solve the following initial vahue problem by separation of variable = 2x at x = 0, y=-2 dx

A: We will solve the problem

Q: Solve the following problem by using the KKT conditions P : Min er²+y² s.t. 2x – y = 4.

A: To find - Solve the following problem by using the KKT conditions                  P : Min ex2 +…

Q: Solve the following DE 3 X dy %3D

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Q: 5. (1+ y² + xy²)dx + (x²y+ y + 2xy)dy = 0

A: The differential equation is given as 1+y2+xy2dx+x2y+y+2xydy=0 Compare it with Mdx+Ndy=0 Here M =…

Q: x \dx xV 3 –x?

A: We need to evaluate the given definite integrals. each part is solve on each steps.

Q: Solve the equation by using the method of variation of parameters: d2y dy dx = X 2. dx

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Q: Solve the following non-exact equation: (3x'y + 2xy )dx +(2x'y' -x² )dy =0

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Q: 2r – 1 dr = ar" + dx" +C.

A: Integrate the function using basic method. Keep the function in power term. And then compare.

Q: Se"dy 3.

A: We have to solve

Q: E) + ») dy = 0 4x3 3 dx + y 3x

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Q: Solve the following differenti- d'y 3. +2y=e"; dx dx

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Q: Solve the following using Integrating Factor by Formulas. 2. y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0…

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Q: Q1) Solve the following equation with Bern dy X - dx + y = 3x³y3

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Q: 6. (2ху + x) dx + (x2 + у) dy 3 0

A: the given differential equation is: 2xy+xdx+x2+ydy=0 we have to solve the given differential…

Q: Use the method of separation of variables to solve, dy 2x(3x +1) Зу? — 1 dx given that y(0) = 2.

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.