The nature of the roots of the homogeneous equation (D^2-12D+85)^4 y=0 arises in

Q: which of the following is equation is an exact DE? a. (x^2 + 1)dx + xydy = 0 b. xdy + (3x- 2у) dx…

A: which of the following equation is exact DE? (i) x2+1dx+xydy=0 (ii) xdy+3x-2ydx=0 (iii) 2xy…

Q: y” – 10y’ + 25y = 30x+3

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Q: Solve the homogeneous equation with constant coefficients (D ^ 4 - 8D ^ 2 + 15) * y = 0

A: Solve the homogeneous equation with constant coefficients (D ^ 4 - 8D ^ 2 + 15) * y = 0

Q: Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate sheet of paper.…

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Q: Obtain the general solution. 1. (D^4 - 5D^2 - 6D - 2)y = 0 2. (D^2 - 2D + 2)y = 0

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Q: D) Factor f (x) = x³ + 2x2 + 4x +8 into complex linear factors. %3D

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Q: (3y" + y'-14)=3*256e768x - 1536

A: The given differential equation is  (3y" + y'-14)=3*256e768x - 1536

Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: (2x+5) -xp 13/2 3-4x - 4x?

A: We know tan(sin-1x)=x1-x2 Here we break the integral into two parts then integrate each part…

Q: Obtain the roots of the following equation using Secant Meth a. f(x)= x^3 - 2x-5; use 2.5 and 3 as…

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Q: Find the solution of the D.E. xydx - (x2 + 3y?) dy = 0 Show your solutions on a separate sheet of…

A: Given differential equation is xydx - (x2 + 3y2)dy = 0

Q: Check whether the given first order linear diff equation is homogenous or exact or separable or none…

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Q: How do I solve for the third order y''' - 4y''-11y' + 30y = 4e^8t + t^2 using the method of…

A: For the given third order differential equation we need to determine the general solution which is…

Q: Find the solution of the D.E. xydx - (x? + 3y) dy = 0 Show your solutions on a separate sheet of…

A: Given differential equation is xydx−x2+3y2dy=0....1. We have to find the solution of the given…

Q: The general solution for the equation y'=x*e(x^2+y) can be given in the form of: ?ex^2+2e-y=k a) x…

A: Solve by separable variable method

Q: Determine the general solution of xdy + ydx = 0. (A xy = c^x B) y =c (c) x = c D) xy = c

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Q: Find the general solution of the D.E. ye? dx = (4+e2") dy Show your solutions on a separate sheet of…

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Q: Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2

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Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

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Q: Which of the following is the general solution to the equation (5x 4y 4 +4e 4x-9y -2xy)dx+(4x $y…

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Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: Calculate the imaginary part of  ∮C(Re(z)+3.78)(2z^2+ 5z+ 13 / z)dz  where C:|z|=1  Use FOUR…

A: We have to find the imaginary part of the integral ∮ fzdz, where fz=Rez+3.782z2+5z+13z over the…

Q: sec (2 – 3x) A. – 9sec (2 – 3x)tan (2 – 3x) - 9sec (2 – 3x) tan tan (2 – - C. 9 sec (2 – 3x) tan tan…

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Q: Find a general solution to the DE (D^2 + D- 6) y = 5e^2t by: a. Undetermined coefficients b.…

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Q: Which of the following is a solution to the DE y" - 9y' + 18y = 0? O y = Ae^(3x) + Be^(-6x) O y =…

A: The objective of the question is determine the solution of the given differential equation and…

Q: %3D у — Зу + Зу - у %3D 4е" y y =

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Q: Obtain the roots of the following equation using Secant Method b. f(x)= x^4 + 2x - 19; use 2.5 and 3…

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