form the differential equation for the following family of curves
y=c1(e^x)+(e^c1)e^(2x)+(ln(c1))*e^(3x)

Question

form the differential equation for the following family of curves y=c1*(e^x)+(e^c1)*e^(2x)+(ln(c1))*e^(3x)

Jitender Singh · Answer

Ans: Differential equation of family of curves: You can solve this system of equations by matrix method. Matrix would be of 4 columns & 4 rows. First column elements will be 1, 1, 1 & 1, second column elements will be 1, 2, 4 & 8, third column will be 1, 3, 9 & 27 ans 4 th column will be y, y&rsquo;, y&rsquo;&rsquo; & y&rsquo;&rsquo;&rsquo;. Detrminent of matrix is zero. Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty

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form the differential equation for the following family of curves y=c1(e^x)+(e^c1)e^(2x)+(ln(c1))*e^(3x)

form the differential equation for the following family of curves
y=c1(e^x)+(e^c1)e^(2x)+(ln(c1))*e^(3x)

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