Please examine the texts provided thoroughly to identify and correct any spelling, typographical, grammatical, OCR (optical character recognition), and mathematical errors, including any errors related to the square root symbol. Ensure that the entire text is properly formatted and presented in a clear, coherent manner. Only correct errors, Do not answer it.
Texts: [20 Marks input is x(1-u(t))y + 5y' + 4y = 2x''(t) + 6x'(t)y(0) - 3y(0) = 1, x(0) = 0 [All marks for this question will be given for the correct use of Laplace Transform method.]