- Second order : non- homogeneous Equations with Constant Coefficients d²y 4-- + 16y = 10 cos 4x dx²

Q: Solve , y" - 8y' + 12y = 0

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Q: Solve ,  y" - 6y' + 8y = 0

A: Given differential equation; y" - 6y' + 8y = 0

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

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: Solve ,  y" - 8y' + 15y=0

A: Given a differential equation, y''-8y'+15y=0

Q: Check whether the given first order linear diff equation is homogenous or exact or separable or none…

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Q: Y"-2y'+2y=e^2x(cosx-3sin) by using variable coefficients

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Q: Solve ,  y"-7y'+12y=0

A: Given  y''-7y'+12y=0→             1

Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

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Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below

Q: Solve: y" + 4y" + 29y' = 0 O y = C1 + C2e5ª cos2x + C3e5" sin2x -2а O y = C1 + C2e¬2ª cos5x + C3e¬2®…

A: The given equation is y'''+4y''+29y'=0 First write the auxiliary equation and then solve it to…

Q: Solve ,  y" - 5y' + 6y = 0

A: We have to solve  y" - 5y' + 6y = 0 (D2 - 5D + 6)y = 0 The auxiliary equation is  m2 - 5m + 6 = 0

Q: Which of the following equation is a variable separable DE? a. (x + x^2y) dy = (2x + xy^2) dx b. (x…

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Q: Find the general solution to the non homogeneous equation : y^2 - 2y - 3 = 3 + 4 sin(2t).

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Q: d^2y/dx^2 + 3dy/dx + 4y = 3x + 2 Utilize the indeterminate coefficient technique to solve the above…

A: Here is the, solution