the 2nd order of the non-homogeneous differential equation, y''-y'-6y=4xex using methods of undetermined coefficient.

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A: Given system of differential equation is, y1'=6y1-y2y2'=5y1+4y2 We write the system as matrix form,…

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A: Let us consider the differential equation y''+Ay'+By=Q(x) To solve the equation using undetermined…

Q: 5. Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у - E

A: Explanation of the solution is given below....

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A: We are given : y'=y-13x-2⇒dydx=y-13x-2⇒dyy-13=dxx-2Now, we will Integrate both…

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A: rewriting the equation we get  y'-1t2-1y2=-1t2-1

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Q: 11. у" - у" - у +у%3D0

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Q: Solve the differential equation ry"+2(1 – x) y' + (x – 2) y = 2e", if yı = e² is known as a solution…

A: given differential equation  xy''+21-xy'+x-2y=2ex                    ...i claim- if y1=ex is a…

Q: 1 y" + 3 y' + 2 y 1+ et

A: Given differential equation is as below:

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Q: x³y" + 3x?y" = 2x +1

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Q: Find particular solution of the differential equation dydx-2x+13=4x+1y , given x=0, when y=0

A: I have solved using integrating factor

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A: Complete solution of a non homogeneous differential equation is given by as follow.

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A: Now, the equation on the right if of the form x2+1. Thus, particular solution of 3y''+2y'-y=x2+1 is…

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A: Particular solution.   A solution of a differential equation that is free of arbitrary parameter is…

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A: To find: y'=4x+3dydx-4x=3       dydx+Py=Qwhere P and Q are variables of x onlyI.F.(Integrating…

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Q: of the differential equation у" - Зу' + 2у %3е-2t

A: Introduction: A differential equation is a mathematical equation that contains one or more…

Q: Find the linear homogeneous differential equation with constant coefficients and the general…

A: Given the solution is y=2+3x-4x2e4x+e4x   NOTE: If Auxiliary equation of a differential equation…