(D² + 1)y= sec³x solve using variation of parameters/

Q: D. y" + y' - 3y = 4sin 2x

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Q: dx 2. S. 3+Vx+2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 3. Solve, using the method of variation of parameters: y" + 4y' = sec 2x

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

A: Given:

Q: y" + y' - 3y = 4sin 2x

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

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Q: y'-5y=x'e* – xe³* - хе

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Q: 3. Solve for the root(s) of the equation f(x)=3x³-4x²+8x+4

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

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Q: Solve using variation of parameters

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Q: solve (8y'sec? 2xt 4x³e*%y+Gcsc*3x)dx-(3xue 3y-12y²tan 2x) dy =0 as an exact equation .

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Q: . Use variation of parameters to solve 4y" + 36y = csc(3x).

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

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Q: Solve the equation (6x+y2)dx+y(2x−3y)dy=0.

A: Solve the differential equation 6x+y2dx+y2x-3ydy=0

Q: dP/dt = P - P2 ; solve by seperation of variables.

A: It is required to solve the given differential equation using separation of variables. dPdt=P−P2

Q: Q2: solve the equation dx 2x dy y y 3.

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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: Solve using the method of variation of parameters: y" + 4y = sec X. %3D

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Q: solve using the appropriate method.xy = 2y + x − 1, y (3/2) = 9

A: We have a function in two variable (x,y)  and a value at particular x. we can separate y and x both…

Q: Use the method of variation of parameters to solve y" – 4y +4y = 2e". %3D -

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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: Solve y < 2 graphically.

A: To solve the inequality y<2 graphically, first plot the line y=2 by finding some points on the…

Q: 3. (x – 4y – 9)dx + (4x + y – 2)dy = 0 -

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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: solve in R the inequation Vx +4 < x + 2

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Q: solve using the appropriate method. y + 3y − 1/ t = t + 2

A: y+3y-1t=t+2y+3y-1t-y+3y=t+2-y+3ySimplify: -1t=t+2-4yMultiply t: -1tt=tt+2t-4ytSimplify: -1=t2+2t-4yt

Q: y" – 6y' + 9y = :

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

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Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: Solve d2y/dx2+y=cosecx by using method of variation of parameters.

A: Consider the given differential equation d2ydx2+y=cosecx

Q: Solve Hhe difforenhal aquahon d3y dx3 2X (I+x)e -7 -

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Q: 2 V5-x dx 3

A: I=∫0125-x2x3dx

Q: Solve the equation. (4x2 + 2x-1y)dx + (x²y° - 1)dy = 0

A: Given: Given differential equation is 4x2+2x-1ydx+x2y3-1dy=0 we want to solve this ODE

Q: A. y– 2y +1 = (x + 1)e²x

A: To solve the given differential equation using method of variation of parameters.

Q: Solve (D2 - 6D + 9)y  = e2x + Sinx

A: The given differential equation is D2-6D+9y=e2x+sinx The auxiliary equation is D2-6D+9=0 Solve for D…

Q: Q3/ Solve dy dx4 2d²y + 1 = 0 dx²

A: Given d4ydx4-2d2ydx2+1=0To find solution:

Q: Solve rue I.v.P. ý + 3y'-s y = y co1=2 yco)=-3

A: Given,y(0)=2 and y'(0)=-3y''+3y'-5y=0    Integrating both sides y'+3y-5=C1...............(1)on again…

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

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

A: Given that: y''+3y'+2y=11+ex

Q: Solve (D2+4D+4)y=e-x sin 2x

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

A: Step:-1 Given that y'''-4y''+2y'-16y=4x+1 For complementary function, The auxiliary equation is…

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: Solve the simultaneous equations y = 1 + 3x – x2 and y = 3 – x graphically. %3D fom

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Q: Solve (D - 4D +4) y = 8xe2* sin 2x

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

A: We are only allowed to solve one question at a time and up to three sub-parts. Please post the…

Q: (y2-2xy-x2)dx+(2x2)dy        Find the solution of the equation through the point (1,2)

A: We have to find the general solution from the given condition

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

A: Given: y''-2y'+y=x-2ex