Two linearly independent solutions of the equation y"+y - 6y = 0 are: Select one: а. e-31,e2t b. e-61,et C. e-2',e3t d. 6t

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A: The given ODE can be written as: dYdt=αα10YLet Y=y1y2y1'y2'=αα10y1y2y1'y2'=αy1+αy2y1y1'=αy1+αy2  and…

Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

A: The solution is given as

Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

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A: We have to tell about given statement.

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A: I have stated the used formulas in the solution

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A: We will find out the required solution.

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A: follow next step

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A: Let's find.

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A: m3-7m2+10m=0⇒mm2-7m+10=0⇒mm-2m-7=0Solution set , 1,e5t,e2tD   m3+m=0⇒mm2+1=0⇒m=0 , m=±iSolution…

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A: Given problem is :

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A: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

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A: x2+3y4-2dx+2x-y2+1dy=0To Find: The general solution of the lines.

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