ty (t+1)y + y = t²

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: Evaluate S2 sin5 30 d0 (Take n=7) 신우

A: The trapezoidal method uses the formula: ∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn), where h=b-aN and N…

Q: y" - 5y +by = 2 e² 11 zt

A: To solve the given problem, we have to apply the method of undetermined coefficients. Note:- From…

Q: 7 1. 2ydx+x²dy = - dx; y = - when x =1 In 2 2

A: Given:- 2y dx +x2 dy =-dx  To find:- Solution of Differential equation at y = 7/2 when x =1/ln(2)

Q: y(2x? - xy + 1) dx + (x - y) dy = 0, ANS. y(2x – y) = c exp (-x?).

A: Given differential equation is y(2x2-xy+1)dx+(x-y)dy=0

Q: II. Solve each of the given LDE of order n. 1. (D³ – 4D* +3D³)y=-21

A: Given that         (D5-4D4+3D3)y = -21 we have to solve the given LDE of order n.

Q: Problem 1: Assume x and y are both functions of t. Solve the IVP consisting of the system of…

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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: d’y - 2 y = 5x' + In(x²). dx

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Q: b. f(x+5)-1/2³+5

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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: The credit office of a departmental store gave the following statements for payment due to 40…

A: Solution Given data

Q: y" - 2y' = e³t+cost +6

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Q: d'y dx +8y = 2x – 5 + 8e **, y(0)=-5, y'(0)=3. y"(0)=-4

A: Given the differential equation            y'''+8y=2x-5+8e-2x with initial conditions y(0)=-5,…

Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

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Q: Solve equation. Give the exact solution. Answer should be as a comma-separated list) 3x^2+3x = 1/9

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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: Consider the ODE below. T*y" +=°y" – 6xy + 6y = + x²

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Q: Derive all the possible equations of x. Given : (x-2)^2+lnx=0

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Q: B. Solve for the unknown values using Iterative Methods -21*11 2 -7 1130-0 2 X3 4 LX4 5 9 -3 4 6 5…

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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 by parameter exchange method

A: We solve by the variation of parameters

Q: (у — сos-x)dx + cos x dy %3D 0

A: The given equation is y-cos2xdx+cosx dy=0 rewrite it as y-cos2x+cosx…

Q: dy dx = 3√√xy² + 9x with y(1) = 4

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