1 1 Which differential equation has y = Ae +Be* +-x + 16 4 as its general solution? Select one: 6y"+4y-2y 3x -2 a. y"+y'-2y 4 b. с 2у"-11у'-12у -3х-2 %3D C. y"-3y' 9 d.

Q: The solution of the differential equation 3.9 + x² + x²y+ 3.9y 1+ Y dy dx using variable separable y…

A: The given equation is dydx=3.9+x2+x2y+3.9y1+y On simplifying this, we get…

Q: 7. 2yy = e-: y(4) =-2

A:

Q: show that y2 = Cx + (1/8) C3   is a solution to the differential equation y= 2xy' + y2 (y')3

A: y2=Cx+C38and given ODE is:y=2xy'+y2(y')3

Q: 2] The linear differential equation with constant coefficients satisfied by the equation y = 2x 5e2*…

A: Hence option (b) is correct.

Q: The solution of a certain differential equation is of the form y(t) = aet + bet, where a and b are…

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Q: 2. Determine the solution of differential equation de + -Q = 4 given that given that dt 10+2t Q(2) =…

A: We have to determine the solution of the differential equation…

Q: 2. Find the general solution of the given higher-order differential equation y(4) + y" + y" = 0.

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Q: 4. Suppose a 12th-order homogeneous linear differential equation with constant coefficients yields…

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Q: The general solution of the second-order differential equation y"-y-12y = 0 is: y = c₂e³x + c₂e-4x…

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Q: The particular solution to the nonhomogeneous differential equation y" + 4y' +5y = 10x + 3e-* %3D

A: The given differential equation y''+4y'+5=10x+3e-x. The particular integral is computed as follows,…

Q: If the general solution of the differential equation having 17 arbitrary constants, then the order…

A: In the solution of differential equation, its a rule that number of arbitary constant in solution of…

Q: The solution of Bernoulli Differential equation y'+-y=3y; x>0 will be found after reducing it to…

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Q: 1. Given the differential equation: y" = sin(5x). Determine its general solution. A. 150y = cos(5x)…

A: Given differntial equation          y'''=sin 5xthen we have to find it's general solution…

Q: Find the general solution of the following system of differential Equations. Show all the steps of…

A: Given system of differential equation is, y1'=6y1-y2y2'=5y1+4y2 We write the system as matrix form,…

Q: Using the method of undetermined coefficients, The general solution of the differential equation y"…

A: Let us consider the differential equation y''+Ay'+By=Q(x) To solve the equation using undetermined…

Q: yi = 3y, + 2y; y - +2y;

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Q: Given the differential equation y" - 4 y' 8 Using Reduction of Order and the letter "R" to this…

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Q: 2. The differential equation (4x'y'-6x'y-2r-3)dr +(2x*y-2x' ty = 0 is exact because aN

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Q: If the general solution of the differential equation having 14 arbitrary constants, then the order…

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Q: Find three linearly independent solutions of the given third-order differential equation and write a…

A: The characteristic equation of the given third order linear equation is m3+5m2-3m-3=0 This is a 3rd…

Q: 6.2 What is a differential equation, y depending on x, whose general solution is the function 21…

A: Explanation of the answer is as follows

Q: If the general solution of the differential equation having 10 arbitrary constants, then the order…

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Q: Consider the differential equation: y''+12y'+36y=-2x2-4e-3x. Apply the method of undetermined…

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Q: 2. Solve the differential equation (3.x² – x³ + 3y – 3.xy – y³)dx + 3(x + y²)dy= 0, - by determining…

A: Exact differential equations solved by using integrating factor

Q: 2) y = c1e5x + cze²2×.-ex : y"-3y'-10y=6ex 2

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Q: 2. A population is modeled by the differential equation: *= 3N (1-) (1-) dt 50, where N(t) is the…

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Q: Find three linearly independent solutions of the given third-order differential equation and write a…

A: We are entitled to solve only one question at a time. So, I am providing you solution of first…

Q: 5. xdy = (y + 2x³)dx

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Q: Obtain the particular solution of (3x2-2y2)y'=2xy; when x=0. y=-1

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Q: The solution of a certain differential equation is of the form y(t) = aet + bet, where a and b are…

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Q: 9. What is the particular solution of the linear differential equation ,3 Y = x° – 2xy; when x = 1,…

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Q: 4. If the characteristic equation of the differential equation y"+2y'-3y =0 is m² + 2m –3 =0, then…

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Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent…

A: We are asked to find the  non homogeneous second order euqation.

Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

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Q: Show that, if y, is a solution to a differential equation of the form y"+P(x)y' + Q(x)y = 0, then, a…

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Q: Given a differential equation y’’−16y=2e4xy’’−16y=2e4x. Applying the method of undetermined…

A: The given differential equation is: y''-16y=2e4x

Q: 13) The linear differential equation whose general solution is given by x = Aet + Btet + cos(3t)…

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

A: We need to find the general solution of the differential equation- dydt=-3(y-4)dyy-4=-3dtIntegrating…

Q: 19, 4. 6. Given that the differential equation xy" + xy'- y = 0 has a solution yı=x. Use the

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Q: Find the complete solution of the differential equation ylv – 2y" + 3y" – 2y' + y = 0

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Q: Find the general solution of the differential equation 8d2ydx2-6dydx+y=2x+40sin x

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Q: 9) Solve the differential equation y" +3y' +2y= e*. Use the method of Undetermined Coefficients to…

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Q: 3. The differential equation = 8 – 2y can be solved using the method of separation of variables or…

A: solve using separation of variable dydt=8-2y dydt=-2y+8 dydt=-2y-4 dyy-4=-2dt take integration…

Q: 4.1 Find the general solution of second order differential equation y" + 4y = x²sin (2x)

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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.

Q: If the general solution of the differential equation having 20 arbitrary constants, then the order…

A: Given: A differential equation having 20 arbitrary constant. Concept Used: Number of arbitrary…

Q: The solution of a certain differential equation is of the form y(t) = aest + bet, where a and b are…

A:

Q: 4) The solution of a certain differential equation is of the form x(t)=Aexp(2t)+Bexp(3t) where A and…

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Q: Without solving for the undetermined coefficients, the correct form of a particular solution of the…

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Q: 7. Find the particular solution of the differential equation dx 5x³y = x³ passing through the point…

A: The given question has been solved in detail