8. Find the solution to the initial value problem. Describe the behavior -1 of the solution as too. x' = = =[2¹] -7 10 [] -1 X, X =

Q: Consider the following equation + 2r –n(n+1)C =0 Assume a solution of the form C=r and solve for A…

A: Given that : r2∂2c∂r2+2r∂c∂r-n(n+1)C=0If c =rλ,r2∂2rλ∂r2+2r∂rλ∂r-n(n+1)rλ=0It is in the form of…

Q: (x³ - x) dx 3 -1

A:

Q: and g( x) = 7 − ( x − 3)^2 , a.) Solve for x: f ( x) = g( x) (Answers c

A: Inequality: a)f(x)=3x3-4x-3g(x)=7-(x-3)2f(x)=g(x)3x3-4x-3=7-(x-3)23x3+x2-10x-1=0The solution isx≈…

Q: 1 0 16. x' = -2 -2 -3 %3D 4

A:

Q: Solve X'

A:

Q: Differentiate. y = ³√√x³+3x+1.x4

A: Given function y = x3 + 3x + 13.x4

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

A:

Q: 51. (a) 4 = -cı (b) c1(t) = 8e(-2/5)t g/L

A: (a) Given information: dc1dt=-25c It is first order seprable ODE

Q: 17. Solve the equation x-3x' + 3x +x-6 0

A: We have to find the solution

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A: Solving the first order differential equation

Q: solve for x if CDy=4(x-E)

A: