
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Transcribed Image Text:Solve the Euler-Cauchy equation xy - 5xy + 9y = 0
В.
Solve the Legendre' s equation (1- x²)y" – 2xy' + n(n + 1)y = 0.
Q5.
А.
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- 5. Show that the equation (2y – 6æ) dx + (3x – 4x²y=') dy = 0 is not exact. Show that the polynomial µ(x, y) = xy² makes the equation exact. 6. Solve the equation in 5.arrow_forwardPut the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables. (Hint: factor.) x' = 3 tx²t + 3x² |x(t) = tan(31 − ² + c) 2arrow_forwardThe Cauchy-Euler equation can be reduced to an equation with constant coefficients by means of the substitution x = e'. Solve the following equations using this change of variables. xy" – 4xy' + 6y = Inx?.arrow_forward
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