How to solve this equation y" - 4y" + 2y' - 16y = 4x + 1 using Variation of Parameters.

Q: Q5. Use the method of variation of parameters to solve (x – 1)y"- xy' +y = (x- 1). |Variation of…

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A: As per bartleby guidelines we are supposed to answer only 1 question per post. This post contains 2…

Q: Find the solution of the equation on the interval [0, 2π).

A: We have, cos (A+B) = cos A cos B - sin A sin B sin (A-B) = sin A cos B-cos A sin B

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Q: How to solve this equation y'''-8y"+4y' + 48y= 4x^2+1 using Variation of Parameters

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Q: D3-7D² + 16D-12)y=e^7x + Cos5x + Sin5x

A: Given:

Q: 2. Solve the equation using Variation of Parameters: y" – 5y' + 4y = x .

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Q: 4. Use the method of variation of parameters to find the general solution of the equation

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Q: Kindly solve using algebraic substitution. x3 dx Vx2-1

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Q: (9x-4y+4)dx-(2x-y+1)dy=0

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Q: Solve the equation by determination method: Inx + e» + tanz = 3 ... (1) 2lnx + 4tanz = 5+ ev (2)…

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Q: Obtain the general solution to the equation.

A: dydx=yx+5x+9dydx-yx=5x+9Integrating factor If=e∫-1x dx                                =e-ln x…

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Q: Solve for Yp * y" – 9y = e3x

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Q: () Find the solution that satisfies Y(0) 1

A: We will find out the required solution.

Q: Solve by Variation of Parameters y" – 4y = 2x general solution y(x) =

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Q: What is the constant of proportionality in the equation y = 0.4x

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Q: Find the general solution of the equation by the variation of parameters method: y" – 2y'+ y = æ 2e"

A: We use the procedure of method of variation of parameters.

Q: Find the general solution using the method of variation of parameters (1) y" + 9y = 12 sec 3x

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Q: How do I find the general solution to this separable equation?

A: Topic - differential Equation We will solve this equation by variable separation method

Q: e2x-ydx + ey-2×dy = 0

A: e2x-ydx+ey-2xdy=0⇒e2x-y+ey-2xdydx=0Substitute  dydx with y' ⇒e2x-y+ey-2xy' =0⇒e2yy'…

Q: How do I solve this? Please show steps. Differentiate: F(y) : y4

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Q: Solve. Vy +4 - y+2 = 0 3. Solve. Vĩ +1 = Vx +2 2.

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Q: Solve the nonhomogeneous y'+ 2y equation

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Q: How to solve for the equation y'''+ 4y'' + 5y' + 2y = 4x + 16 using Variation Of Parameters method

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Q: (1 + x²) e ³* dx

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Q: 3. Solve using the method of variation of parameters 1 y" + 3y' + 2y = 1+ ex

A: Solution is given below:

Q: A worker in a factory is preparing crates of strawberries for a delivery to a customer. At the…

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Q: Solve using the method of variation of parameters 1 у" + Зу' + 2у 1+ e*

A: Using method of variation of parameters

Q: solve: [Cax+3)*D²+6(2z+3)D +bJ y 18log (az+3) Answer 7 = fA cos (2243 alog caz+3) –4 +BBin/ x+3 22+3

A: It is an Cauchy Euler differential equation

Q: 4. When the linear equation has no solution.

A: We have to say that when the linear equation has no solution.

Q: Solve equation for X E3 ax. 3x %3D /3 +20

A: We assume "z" then substitute in the given equation and solve for z by factoring

Q: .1 Solve the equation x'y"-3xy'+3y 2x'e by method of variation of parameters.

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Q: Solve using method of variation of parameters: y" + 2y' - 8y = 2e-2x - ex, y(0) = 1, y'(0) = 0.

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Q: Solve, using the method of variation of parameters: et y" – 2y' + y = - 1+x²

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Q: Solve the equation  by variation of parameters. y′′ + y′ =x.

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Q: 4. Solve for x. MZWYX = 56x +1 M2WLX = 58x - 1 4. Solve for x Y

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Q: How are you getting a negative for a and where is the equation coming from for b?

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Q: 3. Solve using the method of variation of parameters 1 y" + 3y' + 2y 1+ e*

A: First I have find the auxiliary equation and using it find the complementary function and then by…

Q: Find the solution of y' = 2(2x-y) which passes through the point (0, -1) the answer should be y=2x-1

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Q: solve the equation by the method of change of parameters

A: The differential equation is y4-16y=ex The characteristic equation from the homogenous equation is…

Q: Find the general solution by Variation of Parameters. y''+y=3cscx

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Q: Solve the equations by variation of parameters. y" + 2y' + y = ex

A: y''+2y'+y=ex    ------------(1) reduced equation of equation (1) is  y''+2y'+y=0    -------------(2)…

Q: 1. Solve [6x²e*, 35x-3,x>0 ,x<0 [w(x)dx if w(x)= а. b. 3cos 2xsin 7xdx

A: we have to solve the following Integration ,  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3,x&lt;0b) ∫3cos2x…

Q: 4. Solve and write your solution as a parameter. x – 2y + z = 3 2x-5y +6z = 7 (2x-3y-2z = 5 -

A: The addition or subtraction method of the system of equations is a method to eliminate one variable…

Q: Solve using variation of parameters: e2t x" – 2x' + x = (et + 1)² 2

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.