(d) 9+-- 16, a1 Equation: Choose one (e) a 162 + y, -2 Equation: Choose one (1) a- 16e + 9y', Equation:

Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

Q: Q.3 Solve х-Зу+4z %3D 5 2х+y+z %3D 3 4x+3у+5z %3D 1

A: Firstly , we will eliminate X using equation 1 , 2 and 1,3 . Then eliminate y from the remaining…

Q: C has equation 2x2 +y2 = 18. Dete l passes through the point (1, 0). %3D

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

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Q: Solve the linear equation by using Cramer's rule: 2x+3y-4z=-3.... .(1) x+2y+3z=3... Зx-у-z-6....…

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

A: Given:

Q: x  -  2y  +3z  =17 2x  +  y   +z =  9 -3x  +2y  - 2z  = -19   solve for x,y,z

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Q: find the general solution : 6- y' +4y = 4 sec 2x

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

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Q: What is the general solution of the equation y '(t) = 3y - 12?

A: We first separate the variables

Q: Solve (D3-3D2+3D-1)y=x2.ex

A:

Q: Explain Properties of the Solutions of y''+y=0 ?

A: Given differential equation, y''+y=0 is represented by linear differential equation with constant…

Q: Solve using separation of variables:   y'-xy+y=2y

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Q: 1J=-2 and y= 2

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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: 2xyy' 1+ y2 What is the general solution?

A: The solution is given as

Q: 2xyy'=1+y^2 solve using separation of variable (diff eq) when y=3 and x=2

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Q: 9 y y' - -y x2 and find the solution that satisfies y(1) = 1.

A:

Q: Could you help me get the right answer tho my equation 5 - 3c ≤ c +17

A: 5-3c≤c+17

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

A:

Q: v2,

A: We use Pythagoras theorem

Q: 2xyy′ = y2 − 2x3. Find the solution that passes through the point (1, 2).

A:

Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

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Q: Solve using MUC: '-8y + 16y=2(x+12) 3 y= C, e^X + C,xeAX + 8. X- 2 7 3 y=C; eX + C,xe^* + 7 X- 2 B…

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Q: Differentiate: y = 4cos (-)

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Q: 19. An empty 6-gal water jug weighs 0.5 lb. With 3 c of water Inside, the jug welghs 2 Ib. Which…

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Q: Solve he lineal equation it possible Oy toz 20 3x

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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: 8r2 te V1-4.a

A:

Q: Determine-for the implicit equation x2-10 y = 3x dy

A: We, differentiate both sides with respect to y. We use the product rule of differentiation which…

Q: |2/2r| 2, dx -1

A: Let I is the value of given Integral.

Q: Solve y"-4y'+13y= yo)=-I ,y'co)=2

A:

Q: Solve by Chain Rule f(y) = /2y + (3y+ 4y²)³

A: Chain Rule of differentiation :      If f(y) and g(y) both are differentiable function and F(y) is…

Q: - y" – 2y' + 1 = (x + 1)e2x

A: Just I have used the method of variation of parameters and easily find the required solution.Final…

Q: How to create cubic equation (y=ax^3+bx^2+cx+d) using the points (0,0), (1,1) and (2,4)

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Q: Solve: y' + 4y - 17y' - 60y: = y(0) = - 4, y'(0) = - -5, y(t) = = - 72et y''(0) = - 65

A: First we will find the Auxiliary equation of given differential equation to get Complementry…

Q: Solve the diffrential equation:

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

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Q: Use an appropriate substitution to solve the equation y --y y4 and find the solution that satisfies…

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Q: Solve the given differnetial equation by undetermiend coefficents  y'' + 2y' = 2x +7 -e-2x   y(x)…

A: Given:-           The differential equation  is:…

Q: 5. Solve the equation y-y'y"=1, given that y=√2 and y'- and y'= when r=0.

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Q: Solve the Equaiton for y. 10/4y + 8/2 = 2y - 2

A: Given,

Q: What points (x, y, z) satisfy the equations x2 + y2 = 4 and z = 3?

A: Given: x2+y2=4, z=3

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 using variation of parameters: y" – 2y' + y = -

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

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Q: Solve the give differnetial equation by undetermined coefficients y''' - y'' -16y' + 16y = 5 - ex +…

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