Find the internal through following equations: Fundamental Existence Theorem for Linear Differential Equations Given an IVP dy

Find the internal through following equations: 

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Fundamental Existence Theorem for Linear Differential Equations Given an IVP d"y d² ly +...+aj(x) fip + ao(x)y = g(x) an (x) + an-1(x) dx" dæn-1 dx y(xo) = Yo, y'(xo) = Y1, y(n-1) (xo) = Yn-1 If the coefficients an(r), ..., ao(x) and the right hand side of the equation g(x) are continuous on an interval I and if a, (x) # 0 on I then the IVP has a unique solution for the point ro E I that exists on the whole interval I. Consider the IVP on the whole real line d'y (x² – 36) d'y dy + y = sin(x) 1 da4 da3 x2 + 36 da У-3) — 882, у (-3) - 13, у"(-3)- 3, у"(-3)- 9, The Fundamental Existence Theorem for Linear Differential Equations guarantees the existence of a unique solution on the interval Fundamental Existence Theorem for Linear Differential Equations Given an IVP d"y d² ly +...+aj(x) fip + ao(x)y = g(x) an (x) + an-1(x) dx" dæn-1 dx y(xo) = Yo, y'(xo) = Y1, y(n-1) (xo) = Yn-1 If the coefficients an(r), ..., ao(x) and the right hand side of the equation g(x) are continuous on an interval I and if a, (x) # 0 on I then the IVP has a unique solution for the point ro E I that exists on the whole interval I. Consider the IVP on the whole real line d'y (x² – 36) d'y dy + y = sin(x) 1 da4 da3 x2 + 36 da У-3) — 882, у (-3) - 13, у"(-3)- 3, у"(-3)- 9, The Fundamental Existence Theorem for Linear Differential Equations guarantees the existence of a unique solution on the interval

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x 36 dy do y gincx ... View the full answer