An equation of the form t²y" + aty' + ßy = 0, t > 0, where a and 3 are real constants, is called an Euler equation. The

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An Equation Of The Form T Y Aty Ssy 0 T 0 Where A And 3 Are Real Constants Is Called An Euler Equation The 1 (44.49 KiB) Viewed 15 times

An equation of the form t²y" + aty' + ßy = 0, t > 0, where a and 3 are real constants, is called an Euler equation. The substitution x = ln(t) transforms an Euler equation into an equation with constant coefficients. Solve t'y" + 6ty' +6y=0 for t> 0 using the variable substitution. NOTE: Use c₁ and ce for the constants of integration. y(t) =