Lagrange's Differential Equations — Study Resources & PYQs
Solution of Lagrange's differential equations.
- Estimated study time: 30 minutes
Study resources
- Testbook - Understanding and Solving Cauchy-Euler Equation (Article) — Covers the substitution x = e^t (and the shifted form for Legendre/Lagrange type equations) that converts a variable coefficient equation into one with constant coefficients.
- GeeksforGeeks - Cauchy Euler Equation (Article) — Gives the underlying Cauchy-Euler solution method that the Lagrange/Legendre shifted form reduces to once the substitution is made.
- Lagrange & Clairaut Equations (Ankara University lecture notes) (Article) — University lecture notes deriving the general and singular solutions of Lagrange's differential equation y = x*phi(p) + psi(p), and of Clairaut's equation as its special case.
- Series Solution of Differential Equations - Dr. Gajendra Purohit (GP Sir), curated by Class Central (Video) — Video series covering first-order-higher-degree equations solvable for p/x/y, Clairaut's equation, and (immediately before/after in the same playlist) Lagrange's equation and the variation-of-paramet…
Taught in these subjects
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BMAT21 · Government College of Engineering and Technology, Jammu