The complementary function(C.F.) of the differential equation(D-6)ʻ(D+4)y=6x is O (c1 + c2r)e + c3e O (C1 + C2T)e dz + C3e 4z O (c1 +C,t)e + Czetz O (c1 + C2r)ez + Cze 1z

Q: find the differential equation of y =C1cos(w+C2), w is A PARAMETER

A: To find the differential equation.

Q: Solve the differential equation (D4 D3 + D² - D) y= x - 4e + 39 sin (2a) |

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Q: Construct an equation whose roots are the reciprocal of the roots of 2x +4x -10x-5=0

A: Consider a cubic equation ax3+bx2+cx+d=0 where a≠0 and assuming α,β and γ are roots of equation then…

Q: тен Solve the following differential equations Using D-Operator SITT 804 1.(D² - 2D-8)y = 6Cash 4x…

A: 1) The given differential equation is: D2-2D-8y=6cosh 4x The corresponding auxiliary equation is:…

Q: Write down two linearly independent solutions of the Bessel equation 16x?y" + 16ry + (162 – 9) y =…

A: The given differentiate equation can be written as:

Q: The complementary function of the differential equation d²y dx² 2 + 3x +y= dy dx 1 is (1-x)²

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Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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Q: A linear differential equation with constant coefficients has the characteristic roots: 0,0,0, 2 +…

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Q: Match the general solutions to the differential equations. (D²+20+5)²y=0 ✓(D²-6D+10)²y=0…

A: The given differential equations, D2+2D+52y=0D2-6D+102y=0D2-8D+252y=0D2-4D+292y=0 We have to find…

Q: B. Find the first and second derivatives of i- y =-10x+3cosx+(2x+3)(5x-4x) 5x+1 ii- y= 2x

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Q: jn= 16, α=0.05

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Q: Find the solution. (D4+2D³ + 10D²)y =0. y = c,+c,x+e¯*(c,cos3x +c,sin3x) C B y = (c,+c,)x+e-(c,cos3x…

A: Given Differential equation is D2+2D3+10D2y = 0

Q: Rewrite the following differential equation using differential operators. 1. y" dºy Зу" + 4у d³y 12e…

A: The given differential equations are  1) y"'-3y"+4y= 12e2x+4e3x  2) y"""+4y"'= 2tanx

Q: Identify the dependent variable(s) (DV) and independent variable(s) (IV) of the following…

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Q: The complementary function (C.F.) of the differential equation:(D² +3?)y=cos lz s. O ge* + cz sin 3z…

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Q: Find the first derivative

A: Given,            S2N=2-4-SN2To find : Find the first derivative.

Q: Use the method of comparing the coefficients to find a particular solution for the differential…

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Q: Solve 4x+ 4x+6y +5 dy dx 3y+2x+4

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Q: Solve the given differential equation y liv) -81y = 0 %3D O a. y- c,e + cze 9* + C3cos3x + C48in3r +…

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Q: The complementary function (C.F.) of the differential equation : (D² + 9²)y = sin 3x is Cjeda + C2e…

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Q: Solve the differential equation by using an integrating factor:y/+9y = x³e-9x Oxe-9 + C x²4e-9x +…

A: The given problem is to solve the given differential equation by using integrating factor. Given…

Q: What is the solution of the differential equation (D³ + 3D² +3D+2) y = 0 ? 0y=Cie O O -2x + C₂e *…

A: We have given a differential equation, D3+3D2+3D+2y=0 This is homogenous differential equation of…

Q: The differential equation: 4 d'y (點) dy + x +y= x° is dx2 dx O Fourth order and non linear O Second…

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Q: find the derivative of (2³ + j)² O 23 +j O 223 + j O 625 + j6z² O 325 + j3z?

A: Derivative of (z3+j)2 is 2(z3+j)2-1(3z2+0) = 2(z3+j)×3z2 = 6z2(z3+j) = 6z5+j6z2

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.