a'y 4. The order of the differential equation x²- + 3x + 2wy = 8x is. 5. The power of the highest derivative that occurs in a differential equation is called

Q: (b) Form the differential equation by eliminating the arbitrary constants a,b from y = aez + be 8z

A: Differentiate twice with respect to x then we get the answer

Q: Select the differential equation that matches the given slope field. Is 1 141 O=-(2+1)*y? o -- 0--点

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Q: Determine the particular solution that satisfies the differential equation and initial condition…

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Q: Write down a first order differential equation for the current in an LR-circuit to which a voltage…

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Q: What is the particular I solution of the differential equation (2x + y²) dx + 2xydy = 0 when x = 1…

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Q: Eliminate the arbitrary constants: y= x+ Ce2x + C2e¬x 1.

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Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

Q: Find the value of the arbitrary constant of the particular solution of the differential equation…

A:

Q: The differential equation formed by eliminating arbitrary constants a and 6: y = ax + bx+9 is

A: Given that

Q: Find the value of the arbitrary constant of the particular solution of the differential equation…

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Q: he population y(t) of a certain microorganism grows continuously and follows an expo uadrupling time…

A: In this question, the concept of derivatives is applied. Derivative We can use a derivative to…

Q: Find the differential equation by eliminating arbitrary constant  y=Ae-3x+Be2x

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Q: Find the ordinary differential equation from the general solution: y = Ae-* + Be-*

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: From the differential equation by elimaniting arbitary constant y =ax'+ bx²

A:

Q: 10. Solve the differential equation by variation of parameters y" + 9y = 9 sec²(3x)

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Q: The linear Differential equation of any order if there is no constant term s present is known as?

A: We have given The linear Differential equation of any order if there is no constant term s present,…

Q: Show that the differential equation UTM dy -2 - ye rey - 2y dr is exact and find its solution.

A: Use the concept of exact differential equations.

Q: By using suitable method, form an ordinary differential equation by eliminating constant A from the…

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Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

A:

Q: 2. Consider the differential equation y' -()y = 2+G) t If y(0) = yo, find the particular solution to…

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

Q: (3 şiny-5x) dx + 2x²cotydy = 0 hint: let 2 =sinu

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Q: 2wt dt/dw = t2 - 2w3

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variables x for w…

Q: -ka dt2 Sdlve the differential equation and express the X func tion of trieonometrie func tion as

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Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

A: Given that, The tank contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

Q: A body with an initial mass of 200Kg is in motion under the action of a constant force of 2000N.…

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Q: 2. What should be A for the exact differential equation of ry + A , 2Ay – 1 dr+ y? Moreover evaluate…

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Q: A student carrying an influenza virus returns to an isolated college campus with 1,000 students.…

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Q: Find the solution of a given non-homogeneous differential equation using the variation of…

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Q: What is the particular solution to the differential equation [x+(1+x)y] = 12 with y = 0 and =0 when…

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Q: is there any application of second order or higher ordinary differential equation? can you you give…

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Q: Determine the particular solution that satisfies the differential equation and initial condition…

A: General solution of the differential equation

Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

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Q: Show that y=x and yex are lenean inde pendent Solution of the Corres pondinp hamogeneous part ot the…

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Q: The Integrating Factor of the differential equation dy dr y = 14x? is x-14 25 e5z

A: The given differential equation is,  dydx-5xy=14x2To find its integrating factor.

Q: 4te dt TOT

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Q: The differential equation governing the decay of a certain radioactive substance through time is dq…

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Q: Find the general solution of the differential equation: y′=(1+y)secx+tanx

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

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Q: A radioactive isotope decays at a rate proportional to the amount of the isotope, in other words…

A: Given,  k = -0.283033 , let initial amount = C= 1 , final amount =A=0.5  We have to find t

Q: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

Q: Let f(t) be the balance in a savings account at the end of t years. Suppose that y = f(t) satisfies…

A: Given differential equation:- y'=0.04y+2000

Q: Form the differential equation by eliminating constants a and b from y = a(b – x)(b+x) + 56.

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Q: Use Teller's method to Solve the differential equation y-X JJ when h=0-2 s y(1)=2 Use The fifth rank…

A: We can solve this using Taylor method

Q: 2. y' + p(x)y = q(x)

A: