y" – 4y = 4e -

Q: dy Q3. Solve the DE da +y - y? provided that y1 = - is one known solution of the equation.

A:

Q: Solve the equations by the method of undetermined coefficients. y'' + 2y' + y = 6 sin 2x

A: Given equation is

Q: Solve the given DE using 3 possible solutions: y' X 3 - 2y 3 3xy 2

A: Given DE  y'=x3-2y33xy2  …………………………(i) we can write it as dydx=x3-2y33xy2

Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: 1. (2+ y'y' dy 2. [(1+x)? Vxdx

A:

Q: Solve dy and Evaluate the answer at y=30 and C=-26

A: The exponent rule of integration states that ∫xndx=xn+1n+1+c.

Q: Solve the equations by the method of undetermined coefficients. y'' + y = cos 3x

A: Given

Q: al equation - y² , y(1) = 2 is hod with step siz nd off to 2 place

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Q: 3. In trapezoid ABCD, AB || CD, LA 3x+18, ZC 3x+1,2D= 6x . Setup an equation that could be used to…

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Q: . Find the general solution of the first-order equation y? – 2ry dy dr

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Q: Solve using the method of undetermined coefficients y'' - y' + 1/4 y=3 + e^x/2

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Q: Solve (3x*y? – x²)dy+

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Q: Consider the equation (34)x = (3y)s where x and y are unknown. The number of possible solutions is

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Q: solve the DE y'' - 5y' + 6y = 32xe2x, y(0) = 1, y'(0) = 0

A: *Concept:- the give differential equation is Linear differential equation of higher order with…

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A: Given that the number of cars produced when x dollars is spent on labor and y dollars is spent on…

Q: Find the general solution to y'" + y = 0 Show the solution.

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Q: Solve the DE using the method of variation of parameters: x²y" – 4xy' + 6y =30x³, y(1) =5 , y’(1) =5

A: homogeneous system is  compare this equation with  so here we have

Q: 4,y² – 25 3. dy 4. V21+4z-z? dz

A:

Q: d?x + X = secy dy?

A: We have to find the general solution of the given differential equation d2xdy2+x=secy .

Q: Solve the he 2ydx + (x² -y² )dy = 0 equation so Li 3 much

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Q: Using the variation of parameters, find the particular solution of (D2 +1)y = secx

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

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Q: y' = x3 – 2xy %3D

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Q: Find the solution of y" – by' + 9y = 16 et with y(0) = 2 and y' (0) = 1.

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Q: G) (2x-yJdx + (4x. +y-3)dy=

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Q: Find the values of "r" for which y(x) = e* solves the equation y" +3y'-4y= 0

A: We have to find the value of r .

Q: Show that y=x?lInx solves the equation x?y"-3xy'+4y=0, x>0

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Q: With y(5) = 0, solve y′ = e−y(2x − 4)(show all steps)

A: This question can be solved by variable separable method. In variable separable method, separate the…

Q: 2) Determine the solution to the equation y' = y + x² using the following methods a.) method of…

A:

Q: e-SP(x) dx Y2 = Y(x) (5) as instructed, to find a second solution y,(x). y" + 2y' + y = 0; y, = xe*…

A: We will find out the required value.

Q: B. Homogeneous DE with Constant Coefficients – Auxiliary Equations (Repeated Roots) 1. (D2 + 4D + 4)…

A: Consider the given differential equation with constant coefficients D2+4D+4y=0 Since, y cannot be…

Q: +2D+2)y = e csc x

A: Solution: (D2 +2D +2)y = e-xcsc(x)

Q: Use an appropriate substitution to solve the equation xy' + y = -2xy², and find the solution that…

A:

Q: Q2\Using the variation of parameter , find the solution of: y'+9y= sec3x

A: Particular solution by variation of parameter where W is wronskian of y1 and y2.

Q: Solve the equation ru, + (x + y)uy = 1 %3D on dof:

A: In this question, we solve the partial differential equation by using characteristic method.

Q: a) Find the general solution of the equation d'y dy dr? + 3e* dr by using the method of undetermined…

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Q: (D² – 3D + 2)y = e2*(1+e2x)

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Q: Solve for the particular solution: dy = y + Vr2 – y?, y(2) = 0 %3D - da

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Q: dy - 5y = 2(x + c)?, Given that dx ceR Verify that the solution of the equation is as follows: 4 4 +…

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Q: Use an appropriate substitution to solve the equation 9. and find the solution that satisfies y(1) =…

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Q: at Solve the equation Use Euters method- ds -je メーツ dx X+y y(6)=1

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Q: The number of cars produced when dollars is spent on labor and y dollars is spent.on.capital…

A: Find your answer below

Q: A. Solve the following DE by using exact equation method: y = x - y, B. Solve the following equation…

A: Q2. A) Given differential equation is y¯=x-y ⇒dydx=x-y ⇒x-ydx-dy=0

Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

A: Given that, D2+4D+5y=13e3x+50xwhen x=0,y=0,y'=0

Q: * y"-2xy'+uy = 2, yto)=0, yl)=1 =)ytx)=? %3D find the solution using numerical solution

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Q: solve the equation y′′+y=5sin(t) using the Method of Undetermined Coefficients.

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Q: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

A: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

Q: Solve the equation (1-y)e + dy

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Q: y= 2x³-27 3x4 - 2x Find dy da

A: Given: y=2x5-x33x4-2xTo Find: To find dydx.