Find the solution of the differential equation y" + y' = sin x -sinx +cosx а. y = C1 + C2 e¬x SX b. y = C1 + C2 e¯x sinx -- COSX 2 y = C, + C2 e¬x +sinx –cosx с. - 2 d. y = C, + C2 e-× + sinx + co:

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A: Given differential equation is y''−2y'+5y=1+t and y0=0, y'0=4 We have to solve the given initial…

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A: We can find the correct answer as below

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Q: b Show that y = e' sinx %3D satisfies the differential equation (1 - x²)y" – xy' - y = 0. |

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Q: The genaral solution for the differential equation 2," - 2xy'+2y= 0" Oy=c,x+c,xInx y=c,x cos3 In x/2…

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A: Please find attachment First option is correct

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A: Consider the given differential equation: y'x=4tan2x-3cosx Here, the objective is to find the…

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Q: Solve the differential equation (3xy+y2)+(x2+xy)y′=0 using the integrating factor μ(x, y) = (xy(2x +…

A: The differential equation is 3xy+y2+x2+xyy'=0.

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: Calculation shown in the solution is correct , i am providing you the  answer for each boxes…

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Q: Obtain a linear differential equation with real, constant coefficients that is satisfied by the…

A: If the particular solution is: y=2excos3x                                        ....(1) The first…

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A: In this question, we have to find the differential equation by eliminating parameters.

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Q: . Given the differential equation: y" = cos(5x). Determine its general solution. A. 125y = -cos(5x)+…

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A: Given differential equation:(tanx)dy-(4ylny-ytan3x)sec2xdx=0To find: General solution of the…

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A: I have solved using integrating factor

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = aeª +…

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