Differential Equations.Simplified.

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Reference · H.K. Dass · Engineering Mathematics/Sections 3.9–3.11/Interactive · quizzes after every chapter/Free · forever
/ Curriculum

From first derivative
to first in class.

Eight focused chapters that build on each other — read, work an example, take the quiz, move on.

CH 01
Introduction to Differential Equations
A DE is an equation relating an unknown function and its derivatives. Solutions are functions, not numbers.
8 min
→
CH 02
Classification of Differential Equations
DEs are classified by type (ODE/PDE), order, degree, and linearity.
6 min
→
CH 03
Formation of Differential Equations
n arbitrary constants → differentiate n times → eliminate constants → DE of order n.
9 min
→
CH 04
Variable Separable Method
Rearrange so all y terms go left, all x terms go right, then integrate both sides.
11 min
→
CH 05
Homogeneous Equations
A DE is homogeneous if f(x,y) depends only on y/x. Substitute v = y/x to convert to separable.
12 min
→
CH 06
Linear DE — Integrating Factor Method
Standard form: dy/dx + P(x)y = Q(x). Multiply by integrating factor μ = e^(∫P dx).
H.K. Dass — Section 3.9, p.147
14 min
→
CH 07
Bernoulli's Equation
Bernoulli form: dy/dx + Py = Qyⁿ. Substitute z = y^(1-n) to linearize.
H.K. Dass — Section 3.10, p.150
10 min
→
CH 08
Exact Differential Equations
A DE M dx + N dy = 0 is exact if ∂M/∂y = ∂N/∂x. Solution found by direct integration.
H.K. Dass — Section 3.11, p.154
13 min
→

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