homogeneous system for its general solution
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- The given function values satisfy a function defined by f(x)=ax^2+bx+c. f(3)=19.7 f(−4)=55.4 f(14)=300.2 (a) Set up a system of equations to solve for a, b, and c. (b) Write a function of the form f(x)=ax^2+bx+c that fits the data.xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant greater than 1. if k is a constant and f(k)=a^29 what is k?Obtain the general solution. (D^2 + 9)y = 5e^x-162x^2
- y^ (4) + y”” + y” = 0Find y(0) and y(inf) for the following: a.) Y(s) = 1/(s*(s+2)) b.) Y(s) = (s+1)/(s+2) c.) Y(s) = (s+2)/(s^2+2s+10)Find two linearly independent solutions of 2x^2)y'-ху'+(-1x+1)у-0,х>0 of the form y1=xr1(1+a1x+a2x2+a3x3+) y2=xr2(1+b1x+b2x2+b3x3+) where r1>r2. Enter r1= al= a2= a3= r2= b1= b2= b3