y" + 6y"+ 11y' + 6y = cos(x) +e^{-x} %3D Roots of Yh m1=1 , m2=2 , m3=-3 m1=-1 , m2=-2, m3=-3 m1=-1 , m2=2 , m3=-3 Roots of Yp O A=0 , B=1/10 , C=1/2 O A=1 , B=1/10 ,C=1/2 A=0 ,B=2/10 ,C=1 Other:

Q: y''-2y'-y=8e^t    find the particular solution

A: In this question we will find the solution of the differential equations.

Q: Zy-3z,+5zy -15%3D0

A: The given equation is. zxy-3zx+5zy-15z=0 This a non-homogeneous partial differential equation with…

Q: 3. Show the equation (1+ e*y + xye*)dx + (xe* + 2)dy = 0 is exact and solve it.

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Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

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Q: Using [ y = e^(2x) (c1 + c2) + 3/2x2 (2x) ] and [ y = ( c1 + c2x ) e^(2x) + 3x/25 sinx + 4x/25 cnx +…

A: The given differential equation is;  y'' - 4y' + 4y = 3e2x + xsinx

Q: x^2y''-2xy'+2y=8x^3; y(1)=8,y'(1)=15 Verify and solve

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Q: Find all the solutions for e^(iz)+1-i=0

A: The given function is to find the solution for the given complex function equation. Given complex…

Q: Solve the given equation by separation of variables. dN/dt + N = Nte^t+4

A: The objective of the question is to solve the given differential equation by using the method of…

Q: solve the following DE X^4 y' + 66x^3 y = x ^-2 cosx

A: The given differential equation is  x4y'+66x3y=x-2cosx.   The by parts formula of integration is…

Q: The solution of the following Bernoulli's equation y' + 3x²y = 4x²y² is: Oy= 3/(4+3Ce^(x^3 ) ) Oy=…

A: The given Bernoulli's equation is, y'+3x2y=4x2y2. To find: The solution of the given differential…

Q: The general solution for the equation y'=x*e(x^2+y) can be given in the form of: ?ex^2+2e-y=k a) x…

A: Solve by separable variable method

Q: solve using method of undetermined constants: y'' + y' - 2y = -18e^(-2t),     y(0)=0, y'(0)=0

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Q: what terms from the equation make the equation nonlinear? and why X" + x + (x)² + x + x³ + sin(t) +…

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Q: Solve the differeentail Equations for y"-2y'= 3x+9e^(3x)

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Q: Solve for the general solution: x2y" - xy' - 3y = 0. Oy=c1 x + c2 x^3 Oy=c1 x + c2 x^(-3) Oy=c1…

A: Topic = Differential equation

Q: Y''+4y=cosx find solution

A: We have to find the solution of the differential equation y''+4y=cosx. Consider the homogeneous part…

Q: The solution of the IVP, y' = -2xy, y(0) = 2, is: %3D

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Q: Solve the following variable separable equation Cosydx + (1 + e^- x) sinydy = 0

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Q: Which of the following is the general solution to the equation (5x 4y 4 +4e 4x-9y -2xy)dx+(4x $y…

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Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: Solve 1- y y' = ² + cos(²)

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Q: dy/dt + 2y = e^(4t). Using the guessing method because 2 is constant. I need help solving this…

A: Solution of the first order differential equations

Q: Find the solution. (403+12D²+13D+10)y = 0. @ y=c,e+e>(c,cosx + c sinx) +c,sinx) -3x y =…

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Q: Solve for the general solution: 6 D^3 - 13 D^2 + 6 D = 0. O y = cle^x + c2e^(2/3 x) + c3 e^(3/2 x) O…

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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: Evaluate y'- 5y = 3e^x - 2x + 1

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Q: Solve (e' +1) cos x dx +e'sinxdy = 0

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Q: Solve the following DE: \(x^3y + 8x^2y=x^{-5}\cos{x}\)

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Q: Solve for the particular solution of the given IVP: Oy=In(3/(2+e^(-x^2))) Oy=In((2+e^(-x^2))/3)…

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Q: y" + 6y"+ 11y' + 6y = cos(x) +e^{-x} %3D

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