Category:Examples of First Order ODEs
Jump to navigation
Jump to search
This category contains examples of first order ordinary differential equations.
A first order ordinary differential equation is an ordinary differential equation in which any derivatives with respect to the independent variable have order no greater than $1$.
Also see
Subcategories
This category has the following 11 subcategories, out of 11 total.
Pages in category "Examples of First Order ODEs"
The following 57 pages are in this category, out of 57 total.
F
- First Order ODE in form y' = F ((a x + b y + c) over (d x + e y + f)) where a e = b d/Example
- First Order ODE in form y' = F ((a x + b y + c) over (d x + e y + f))/Example
- First Order ODE/(1 over x^3 y^2 + 1 over x) dx + (1 over x^2 y^3 - 1 over y) dy = 0
- First Order ODE/(2 x + 3 y + 1) dx + (2 y - 3 x + 5) dy = 0
- First Order ODE/(2 x y^3 + y cosine x) dx + (3 x^2 y^2 + sine x) dy
- First Order ODE/(3 x^2 - y^2) dy - 2 x y dx = 0
- First Order ODE/(3 x^2 over y^4 - 1 over y^2) dy - 2 x over y^3 dx = 0
- First Order ODE/(6x + 4y + 3) dx + (3x + 2y + 2) dy = 0
- First Order ODE/(exp x - 3 x^2 y^2) y' + y exp x = 2 x y^3
- First Order ODE/(exp y - 2 x y) y' = y^2
- First Order ODE/(sine x sine y - x e^y) dy = (e^y + cosine x cosine y) dx
- First Order ODE/(x + (2 over y)) dy + y dx = 0
- First Order ODE/(x + y + 4) over (x + y - 6)
- First Order ODE/(x + y + 4) over (x - y - 6)
- First Order ODE/(x + y) dx = (x - y) dy
- First Order ODE/(x + y) dx = (x - y) dy/Proof 1
- First Order ODE/(x exp y + y - x^2) dy = (2 x y - exp y - x) dx
- First Order ODE/(x y - 1) dx + (x^2 - x y) dy = 0
- First Order ODE/(x^2 - 2 y^2) dx + x y dy = 0
- First Order ODE/(x^2 y^3 + y) dx = (x^3 y^2 - x) dy
- First Order ODE/(y + y cosine x y) dx + (x + x cosine x y) dy = 0
- First Order ODE/(y - 1 over x) dx + (x - y) dy = 0
- First Order ODE/(y - x^3) dx + (x + y^3) dy = 0
- First Order ODE/(y over x^2) dx + (y - 1 over x) dy = 0
- First Order ODE/(y^2 - 3 x y - 2 x^2) dx = (x^2 - x y) dy
- First Order ODE/(y^2 exp x y + cosine x) dx + (exp x y + x y exp x y) dy = 0
- First Order ODE/-1 over y sine x over y dx + x over y^2 sine x over y dy
- First Order ODE/1 over x^3 y^2 dx + (1 over x^2 y^3 + 3 y) dy = 0
- First Order ODE/Cosine (x + y) dx = sine (x + y) dx + x sine (x + y) dy
- First Order ODE/dx = (y over (1 - x^2 y^2)) dx + (x over (1 - x^2 y^2)) dy
- First Order ODE/exp x (1 + x) dx = (x exp x - y exp y) dy
- First Order ODE/exp x sine y dx + exp x cos y dy = y sine x y dx + x sine x y dy
- First Order ODE/exp y dx + (x exp y + 2 y) dy = 0
- First Order ODE/x dy - y dx = (1 + y^2) dy
- First Order ODE/x dy = (x^5 + x^3 y^2 + y) dx
- First Order ODE/x dy = (y + x^2 + 9 y^2) dx
- First Order ODE/x dy = (y + y^3) dx
- First Order ODE/x dy = k y dx
- First Order ODE/x sine (y over x) y' = y sine (y over x) + x
- First Order ODE/x y dy = x^2 dy + y^2 dx
- First Order ODE/x y' = Root of (x^2 + y^2)
- First Order ODE/x y' = y + 2 x exp (- y over x)
- First Order ODE/x^2 y' - 3 x y - 2 y^2 = 0
- First Order ODE/x^2 y' = 3 (x^2 + y^2) arctan (y over x) + x y
- First Order ODE/y - x y' = y' y^2 exp y
- First Order ODE/y dx + (x^2 y - x) dy = 0
- First Order ODE/y dx + x dy + 3 x^3 y^4 dy
- First Order ODE/y dx + x dy = 0
- First Order ODE/y dx - x dy = x y^3 dy
- First Order ODE/y dy = k dx
- First Order ODE/y dy = k x dx
- First Order ODE/y' + 2 x y = 1
- First Order ODE/y' - f (y) phi' (x) over f' (y) = phi (x) phi' (x) over f' (y)
- First Order ODE/y' = (x + y)^2
- First Order ODE/y' = sin^2 (x - y + 1)
- First Order ODE/y' ln (x - y) = 1 + ln (x - y)