6. Solve the initial value problem $x y^{\prime)+y=x^{5} y^{4}, х>0, у(1)-2$.

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A:

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A: 4x83-1=23059203

Q: 8.) FIND ALL DERIVATIVES OF y^(n) OF THE FUNCTION y = square root of (x+5).

A:

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Q: y^(5)−4y^(4)+4y^(3)=0 Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants. y(t)=

A: y^(5)−4y^(4)+4y^(3)=0Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants.y(t)=

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Q: Solve using De Moivre's Theorem to find the general solution.  y^(8) + 8y^(4) +16y=0

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Q: 3y²y + y³ = ex

A: 3y2y′+y3=e−x

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A: We can find the auxiliary equation and this easily find the general solution and then using the…

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Q: 11) Use y = - -az" to solve (3-2²)y" - 3xy' - y = 0. 1=0

A:

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Q: Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1…

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Q: 7. Solve the particular solution using variation of parameters. (D² – 5D+ 4)y = 8e" A. (8/3)xe^x B.…

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Q: Solve xy''+(6-x^(2))*y'+(4/x -3x)y=0 near the point x_0=0

A: Given - xy'' + 6 - x2y' + 4x - 3xy = 0 To find - Solve the given equation near x0 = 0