BMTC-132 IGNOU Solved Assignment 2026-27

BMTC-132 Solved Assignment Differential Equations (TMA)

This verified digital PDF solution set for BMTC-132 Differential Equations (English/Hindi) addresses the core curriculum of the Bachelor of Science (Multidisciplinary) program under the School of Sciences (SOS). Below are the key syllabus blocks covered with structured solutions:

1. Functions of Two or Three Variables (Block-1)

Solutions include partial derivatives, directional derivatives, and gradient calculations for multivariable functions. Key topics:

• Partial differentiation rules for implicit/explicit functions.
• Applications in optimization (e.g., finding extrema of f(x,y)).
• Verification of solutions using IGNOU’s prescribed textbook examples.

2. Ordinary Differential Equations of First Order (Block-2)

This unit focuses on separable, linear, and exact ODEs with step-by-step derivations. Sample problems:

• Solving dy/dx = g(x)h(y) (separable equations).
• Integrating factors for linear ODEs (e.g., dy/dx + P(x)y = Q(x)).
• Verification of solutions against IGNOU’s model answers.

3. Second and Higher Order Linear ODEs (Block-3)

Comprehensive solutions for constant-coefficient equations, reduction of order, and complementary functions. Highlights:

• Finding general solutions for ay'' + by' + cy = 0.
• Method of undetermined coefficients for non-homogeneous equations.
• Word-limit-compliant explanations (500 words per question).

4. First Order Partial Differential Equations (Block-4)

Solutions include classification of PDEs, characteristic equations, and exact solutions. Topics:

• Solving P(u)∂u/∂x + Q(u)∂u/∂y = R(u) using characteristics.
• Verification of solutions against IGNOU’s prescribed examples.
• Plagiarism-free adherence to academic integrity policies.

Subject-Specific FAQs

Q: How are solutions verified for plagiarism? Each solution is cross-referenced with IGNOU’s official model answers and scanned via Turnitin-compliant tools to ensure 100% originality.

Q: Are Hindi solutions included? Yes, solutions are provided in both English and Hindi, strictly following the course’s bilingual format.

Key Features of the TMA Solution Set

• Strict adherence to 30% course weightage for TMA submissions.
• Compliance with word limits (500/250/100 words) per question.
• Digital PDF format for easy download and submission.
• Current academic session alignment (verified via eGyanKosh).