{"ok":true,"q":"Differential Equations","n":77,"results":[{"id":"class_12\/mathematics\/chapter_09_differential_equations","title":"Chapter 9 — Differential Equations","class_num":12,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: Differential Equations (Class 12 NCERT) introduces equations that relate a function with its derivatives. Such equations model how quantities change and are essential","topic":"","anchor":""},{"id":"class_12\/physics\/chapter_08_electromagnetic_waves","title":"Chapter 8 — Electromagnetic Waves","class_num":12,"subject":"physics","subject_label":"Physics","summary":"This chapter presents electromagnetic waves as self-propagating disturbances of electric and magnetic fields that follow from Maxwell’s equations. It begins with the physical need ","topic":"","anchor":""},{"id":"class_11\/physics\/chapter_06_oscillations","title":"Chapter 6 — Oscillations","class_num":11,"subject":"physics","subject_label":"Physics","summary":"Introduction: Oscillations describe repetitive back-and-forth motion about an equilibrium position. This chapter introduces periodic motion and its simplest form — simple harmonic ","topic":"","anchor":"sec-practice"},{"id":"class_12\/physics\/chapter_06_electromagnetic_induction","title":"Chapter 6 — Electromagnetic Induction","class_num":12,"subject":"physics","subject_label":"Physics","summary":"This chapter introduces electromagnetic induction — the production of an electromotive force (emf) in a circuit due to a changing magnetic environment. Starting from Faraday’s expe","topic":"","anchor":""},{"id":"class_12\/mathematics\/chapter_07_integrals","title":"Chapter 7 — Integrals","class_num":12,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Integrals (Class 12, NCERT) — This chapter develops the concept of integration as the reverse process of differentiation and as a limit of sums. It introduces indefinite i","topic":"","anchor":""},{"id":"class_12\/physics\/chapter_05_nuclei","title":"Chapter 13 — Nuclei","class_num":12,"subject":"physics","subject_label":"Physics","summary":"This chapter explores the structure, properties and reactions of atomic nuclei — the small, dense cores of atoms made of protons and neutrons. It introduces fundamental concepts su","topic":"Radioactivity: Decay Law","anchor":"topic-6"},{"id":"class_11\/mathematics\/chapter_05_complex_numbers_and_quadratic_equations","title":"Chapter 5 — Complex Numbers And Quadratic Equations","class_num":11,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces complex numbers and their role in solving quadratic equations that have no real roots. Starting from the imaginary unit i (i^2 = -1), students learn the alg","topic":"Quadratic Equations with Complex Roots and Conjugate Root Theorem","anchor":"topic-12"},{"id":"class_12\/biology\/chapter_13_organisms_and_populations","title":"Chapter 13 — Organisms And Populations","class_num":12,"subject":"biology","subject_label":"Biology","summary":"This chapter introduces basic ecological concepts at the level of organisms and populations. It explains how individuals of a species interact with their environment (habitat and n","topic":"Population Dynamics and Human Population","anchor":"topic-15"},{"id":"class_12\/physics\/chapter_07_alternating_current","title":"Chapter 7 — Alternating Current","class_num":12,"subject":"physics","subject_label":"Physics","summary":"This chapter introduces Alternating Current (AC), the dominant form of electrical power used in homes, industries and power systems. Beginning with the difference between direct an","topic":"Complex representation and phasors as complex numbers","anchor":"topic-10"},{"id":"class_11\/geography\/chapter_07_natural_hazards_and_disasters","title":"Chapter 7 — Natural Hazards And Disasters","class_num":11,"subject":"geography","subject_label":"Geography","summary":"This chapter introduces natural hazards and disasters in the Indian context, explaining basic concepts, causes and differences between hazards, vulnerability and disasters. It emph","topic":"Biological Hazards (Epidemics and Pandemics)","anchor":"topic-10"}]}