PyPDF2 import PdfReader

Load the provided PDF to extract text

pdf_path = '/mnt/data/17396020699451jagizow.pdf' pdf_reader = PdfReader(pdf_path)

Extract text from the first few pages to locate the required problems

extracted_text = '' for page_num in range(0, 5): # Check the first 5 pages for relevant questions page = pdf_reader.pages[page_num] extracted_text += page.extract_text()

Display the extracted text to locate questions

extracted_text[:1500] # Limit the output for the first previewIt looks like there was an issue when trying to access the pages of the PDF, possibly due to an incorrect page range. Let me try again by reviewing all the pages of the document properly. Check how many pages the PDF has num_pages = len(pdf_reader.pages)

Now extract text from all available pages to locate the questions

extracted_text = '' for page_num in range(0, num_pages): # Check all pages page = pdf_reader.pages[page_num] extracted_text += page.extract_text()

Display the extracted text

extracted_text[:2500] # Limit the output for preview purposesI have extracted the beginning of the document, but it seems that the formatting is a bit difficult to read and doesn't immediately provide the specific problems you're referring to. I noticed references to differential equations and their solutions, but not yet the exact problems numbered 2, 4, or 6.

I will focus on finding the relevant sections in pages 3 and 4 that match the problems you mentioned. Let me locate and extract those. Check the text starting from page 3 (index 2) onwards for problems extracted_text_page3_4 = '' for page_num in range(2, num_pages): # Start from page 3 (index 2) page = pdf_reader.pages[page_num] extracted_text_page3_4 += page.extract_text()

Display the extracted text from pages 3 and 4

extracted_text_page3_4[:2500] # Limit output to preview first partI've located the relevant questions from pages 3 and 4. Here's a summary of the problems you requested:

From page 3:

• Problem 2: Solve the following initial value problem: $\frac{dy}{dt} = 2t^2, \quad y(0) = 1$

• Problem 4: Solve the following: $t\frac{dy}{dt} + 2y = \sin(t), \quad y(2) = 2$

• Problem 6: Solve the following: $t\frac{dy}{dt} + (t + 1)y = t, \quad y(\ln 2) = 1$

From page 4:

• Problem 2: Solve the following initial value problem: $\frac{dy}{dt} + 2y = 2\cos(t), \quad y(0) = 1$

• Problem 4: Solve the following: $3\frac{dy}{dt} + 4t^2y = e^t, \quad y(1) = 0$

• Problem 6: Solve the following: $\frac{dy}{dt} + y = 5\sin(2t), \quad y(0) = 0$

Would you like me to solve all of these problems or focus on specific ones? Let me know!