In Problems 1-18 solve each differential equation by variation of parameters 2. y' +у- tan x 1. y' + у3 secx 3. у' + у 3 sin x 4. y y sec 0 tan 6. у' +у- sec?x 5. y' + у- сos?x 7. y" — у 3 сosh x 8. y-ysinh 2x 9x 9. у - 9у - 10.4y" y 3 1 11. y3y2y 12. y' — 2у + у-

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A: topic - differential equation

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Q: 2. Solve the differential equation (3x2 – x³ + 3y – 3.ry – y°)d.x + 3(x + y²)dy= 0, - -

A: Disclaimer: Since, you have requested for a handwritten solution and currently we are not providing…

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Q: yu) + 2y"+ y - x²sinx

A: The given differential equation is: y(4)+2y''+y=x2sin x

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Q: 5. If the characteristic equation of the differential equation 27 - 184 dx +8- y-0 is dx 27m -18m…

A: The characteristic equation of the given differential equation is 27m4-18m2+8m-1=0.

Q: From the differential equation by eliminationg the arbitary constant A,B from y=Ae/x+Be¬-7x +Be-7x

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Q: In Problems 19-24 solve the given differential equation by variation of parameters. 19. xy" – 4y' =…

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Q: 1. What can you say about a solution of the equation y' = 49y² just by looking at the differential…

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Q: Suppose dr - =4sin(2x) and y= -2 when *=. what is the particular solution to the given differential…

A: In this question, we need to find the particular solution to the given differential equation.

Q: 3. Form a differential equation by eliminating the constants a and b: y = ax² + bx

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Q: 3. Obtain the differential equation of the family of straight lines passing through (0.1). SAdd File

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Q: Suppose that the population P(t) of a country satisfies the differential equation dP/dt= kP(200 - P)…

A: dPP(200-P)=kdt∫dPP(200-P)=k∫dt1200∫dPP-∫dP200-P=k∫dtInP-In(200-P)=200kt+cInP200-P=200kt+cP200-P=ce20…

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Q: If we use the method of variation of parameters, the particular solution of the following…

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Q: Find the general solution of the differential equation 2 = -3(y – 4). dt (Express numbers in exact…

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Q: 4. x" +x=e+!.

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Q: 3. ([3]) Suppose that a large mixing tank initially holds 400 gallons of water in which 50 pounds of…

A: This is a problem of IVP.

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Q: 3) Find the solution of the differential equation y = -ry + (/')².

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