Find the general solution for the differential equation: y" - 4y = 1+ 65e'cos(2t) 1- 2- y" - 8y' + 16y = 6xe* 3- y" +9y = sec2(3x) 4- y" - 3y' + 2y = 2t2 + e' + 2te + 4et 5- y" + 4y = tan(2t) + e3t 6- y" + 4y = cot(t) 7- y" – 2y' +y = 8- y" - 2y' + y = 1+x2 9x y" – 9y 9- 3ỹ + ỹ – 2y = 2cos(x) + 3e* 10- y" - y' = e* + e*+ 11-

Q: y = (C₁ + C₂x) eª + sinx+x²; y" - 2y' + y = −2 cos x + x² − 4x + 2

A: Here we find the first and second derivatives of given solution and then put in the left hand side…

Q: Use the method of undetermined coefficients to solve the differential equa- -2x y" + 5y' + 6y = e-®…

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Q: For the differential equation x-4y"-2y'+y 0, the point x = -2 is Select the correct answer.

A: One distinguishes the following cases: Point a is an ordinary point when functions p1(x) and p0(x)…

Q: 1 y = e*(C, cos2x + C2sin2x) –xe*sin2x a. 2 b. y = e*(C, cos2x + C2sin2x) +xe*sin2x 1 y = e*(C,…

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Q: Show that the given function is a solution of the differential equation. y" + 25y = 0, y = cos(5x) +…

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Q: Verify that the indicated function is an implicit solution of the given differential equation.…

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Q: Find general solution of the Euler differential equation x2y” + 3xy’ - 3y = 0

A: x2y” + 3xy’ - 3y = 0

Q: Solve the following differential equations: (DE in 1st Order, 2nd Degree) 10.) 2(y')?tan?x - y'tan³x…

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Q: Find a homogeneous differential equation that is equivalent to the differen- tial equation 5t³y" +…

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Q: y"+ 4y = (87 - 4t) U(t) + (8 7 -4€) U(t-27) Yco) = 2 Y'o) = 0 %3D para

A: We will find out the required solution.

Q: Solve the differential equation by using variation of parameters: d'y dy 3 dx 3x + 2y = e dx .A 3x y…

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Q: Find a second order differential equation so that solves the differential equation for any choice of…

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Q: Solve Cauchy Euler differential equation x²y" - 7xy' + 41y = 0

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x 3x A. B. O O E. y" - 3y' =…

A: Given a  equation of general solution of a differential equation. By terminating arbitrary constant…

Q: If the root of an auxiliary are rı = 2+3i and r2 2-3i, the differential equation is %3D Select one:…

A: We will find out the required differential equations for given roots of auxiliary equation.

Q: Solve the following differential equation y'"+2y' +5y= e2*coshx Select one: O a.…

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Q: 3y"-Gy'+6y by = = e sec x

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Q: The indicial equation for the differential equation хy" + 5у" - бху %3D 0 is O A. "(5r – 1) = 0 А. O…

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Q: Find the Differential Equation whose general solution is y = C₁e4t + C₂e-3t Oy" - y' +12y = 0 y"+y'…

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Q: Determine whether the following ordinary differential equation (15x - tan(4x))y"' - x²y" + 7y'…

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Q: The general solution for the flowing differential equation is (3x²+ycosx) dx +(sinx-4y )dy =0

A: The equation is given by: 3x2+ycosxdx+sinx-4y3dy=0 The equation is of the form Px,ydx+Qx,ydy=0…

Q: Please help write the ordinary differential equation below in the form x’=Ax+f

A: Given that the ordinary differential equation is y'''+2y''-4y'+y=5tWe have to write this in the form…

Q: Solve the following nonhomogenous differential equation: d''''y/dx'''' + 2(d'''y/dx''') +…

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Q: The roots of the indicial equation of the differential equation x²y" + (6 sin x)y' + 6y = 0 at x = 0…

A: Given a differential equation x2y''+6sinxy'+6y=0. To find the roots of the indicial equation of…

Q: The indicial equation for the differential equation " +7y-5xy 0 is O A. (r+ 7) = 0 O B. P(7r - 1) =…

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Q: Use Variation of Parameters to find the general solution of the differential equation a'y" +a*y" -…

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