Determine particular solution for y" – 4y' – 12y = 3e5. %3D

Q: 3. Using Euler's method, find an approximate value ofycorresponding to x= 1.6, given =y -and dx y =1…

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Q: y)dx

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Q: Q3\ using Euler method, find an approximate value of y corresponding to x€ [0 -0.7], Given = x(x +…

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Q: Which one is an integrating factor for the equation y(2x – y+ 1)dx + x(3x – 4y+ 3)dy=0? 9020900 et

A: Given that, y2x-y+1dx+x3x-4y+3dy=0                               ……(1)   The above differential…

Q: 2. Use Euler's method to find the approximate value of y correct up to 4 dy decimal places for…

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Q: Solve the DE by Integrating Factors Found by Inspection 3 1. x dy - y dx = x¹ y dy + x³y² dx X

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Q: 4y = Consider the equation- dx What is the integrating factor of the equation?

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Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

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Q: Test for exactness and determine the particular solution of: (yexy – 2y³)dx + (xe*y – 6xy² – 2y)dy =…

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Q: Q/ Find the generd solution of the differentiol equation y"-3y'-2y=4cos (x)+2sin(x)

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Q: Q3 using Euler method, find an approximate value of y corresponding to xe [0 - 0.7], dy Given = x(x…

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Q: Exact DE se: he particular solution of (x + y)dx + (x – y)dy = 0 when x = 1 & y = 1.

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Q: dy y- dx ay

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Q: 2 4) d?y |1+ () dx2 dx, Find the: Туре: Order: Linearity: Why?: Unknown Function: Independent…

A: Topic:- differential equations

Q: 15 determine the value of the constant p where p> 0. (b) Given dx %3D

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Q: 6. General solution is y = x² In x + Ca² , EXERCISE 6. dy 2y = x? dx

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Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

Q: olve the following initial value problem using variation of parameters: y" + 4y = cos 3x y(0) = 0,…

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Q: (3sin y– 5x)dx+2x² cot ydy = 0 3.

A: Given: 3siny-5xdx+2x2cotydy=0

Q: Dse Runge - kutta method to Solve the equation: dly x +y %3D dx at x =0.8 given that using h= o.4 y…

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Q: • Find so lutions usino Ex act Equations 1.) solve (ysinx t xycosx) dx + (Xsinx + 1)dy=0

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2 − 3   dy=?

A: The given expression y=9x2-3 Differentiate both sides with respect to x dydx=d9x2-3dx     =9dx2dx-0…

Q: (4-y)dx +dy =O what is the of differantial general soluttion equation ?

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Q: e dx (1) S. 1-e2x (integration by substiution)

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Q: 1 dx V5 ²

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Q: dy is equal to- dx If y = !, then the value of +3 V1 +y* V1+x

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Q: 1+vx dx use u= 1+ V 1- use Vx

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

Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: d’y_2dy 3 y=2sin°(x) dx Determine the general solution of 2 dx

A: We have to determine the general solution of the differential equation…

Q: 2. Obtain the particular solution when x = 1 and y = 1 y(? - y? + 1) dx – x(x² - y? - 1) dy = xlx? -…

A: Here is the solution of the given differential equation.

Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx - (3x- y – 4)dy = 0 %3D

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Q: Find the differential dy for y = xV1-x. Do not simplify your answer.

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Q: D.E Poll owing (1+y)dx= (bany -x) dy Solve the %3D

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Q: Use Euler's Method to approximate y(10.8) with step sizeh 0.2. dy = 3y + x- 5 y(10)= 0 %3D dx

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Q: dy + y =0 dメ 0 2) dx?

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Q: y (x 2 + y 2 – 1) dx + x (x 2 + y 2 + 1) dy = 0

A: First find integration factor then solve Using formula

Q: Find all antiderivatives for dP = 24 - 4x. dx P(x) + C.

A: The given equation is dPdx=24-4x.

Q: se the method of variation of parameters to determine a particular solution lo the given equaliol…

A: we have given the differential equation y'''-15y"+500y=e10x we have to find the particular solution…

Q: 2-r Change the order of integration and hence evaluate dy dx 2 + y?

A: To solve this problem. first find the region of integration by drawing the region and then change…

Q: Integrate by substitution. Check your answer by differentiation. dy |y+8

A: Here we have to integrate the given integral.

Q: #@3 g (x1y) =- 7x3 -49xy + 7y3 Find and elassify all the extrema of the fine tion

A: Given- gx,y=7x3-49xy+7y3 To Find- All the extrema of the above function. Concept Used- Using the…

Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

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Q: 2. Find the solution (implicit or explicit) dy (y+1) = 3sin(x). y(7)= 2 dx %3D

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Q: y"+y = e" what is the nonhomogenous(particular) solution of the given differantial equation?

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Q: y

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Q: 1. Solve for y3 using the method of successive approximation. dy =x+ y; y(1) = 1 dx %3D

A: The given problem can be solved by the following method,

Q: 04/ Determine the particular solution of the equation d²y dx2 = 9 given the boundary 3 dx conditions…

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Q: Use Euler's method to estimate y(0.02) ey-x y' 1+ e2y »y(0) = 1 (h=0.01) .What is the error in the…

A: The solution is given as

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.