y" -2y! + y ex

Q: e' 12.22. * – 4x + 3x: 1+e'

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Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: in the summer of 2005 Road and Track magazine gathered 15 vehícies (13 cars, 1 motorcycle and an…

A: Consider the given table, Time (seconds) Speed(mph) 3.1 60 5.3 100 8.6 150 9.9 161.4

Q: 6. Solve the equation x²y" – 4xy + 6y = 21x¬4 using variation of parameter method. - %3D

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Q: y" + 4y + 4y = e-2x x²

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Q: Solve the heat equation Ut ux (0, t) u(x, 0) = = = 0 0 t> 0 Uxx, 0, ux(2, t) = 0, fx, 0<x< 1 [0,…

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Q: x2+1 2²+1 dx = 0 xe"dy +

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Q: yoー1lby= e Solve the equation of pormnetersi? by the method of chenge

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Q: • A body having a temperature of 100°C was placed in a room where the temperature is 5°C. At the end…

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Q: For the linear expression in x, give the constant term and the coefficient of x. The constant term…

A: Let,Writing linear expression in terms of x

Q: Solve the following higher-order differential equations: 3. x" + x = t cost + sint

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Q: (D² + 1)y= sec³x solve using variation of parameters/

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Q: A cylindrical road-roller made of diameter is 54 cm and the thicknes naking the roller is 9 cm. Find…

A: Introduction: The volume of a cylinder of height h, internal radius r, and external radius R is…

Q: 4d'y dt? dy -8y= 8e, find the solution dt a) Using the Method of Variation of Parameters

A: Given differential equation is 4d2ydt2−4dydt−8y=8e−t....1 We have find the general solution by using…

Q: (D³ + 3D² - D - 3)y = e4x + 5 ID3 an?

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Q: solve the equation by the method of change of parameters

A: The differential equation is y4-16y=ex The characteristic equation from the homogenous equation is…

Q: Solve (2t³ + 3y)dt + (3t + y – 1)dy = 0

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Q: 2. Considering (n- 1)²u«- y"uy= ny»-\ u, n# 1 (a) Identify the type of PDE. (b) Reduce it to…

A: As per bartleby instruction when more then one question is given only one has to be answered. Please…

Q: dy dx = 3√√xy² + 9x with y(1) = 4

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Q: y' – 2y = y², when y = 3 and x |0 =

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Q: y" – 4y' + 4y = x²e*

A: Here we have to solve the given equation using method of variation  of parameters. Where we use…