\[\frac{dy}{dx} = \frac{x + y}{x - y}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[2xy\frac{dy}{dx} = x^2 + y^2\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x^2 \frac{dy}{dx} = x^2 - 2 y^2 + xy\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[xy\frac{dy}{dx} = x^2 - y^2\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
y ex/y dx = (xex/y + y) dy
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x^2 \frac{dy}{dx} = x^2 + xy + y^2 \]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
(y2 − 2xy) dx = (x2 − 2xy) dy
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
2xy dx + (x2 + 2y2) dy = 0
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = \frac{x}{2y + x}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
(x + 2y) dx − (2x − y) dy = 0
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = \frac{y}{x} - \sqrt{\frac{y^2}{x^2} - 1}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following differential equations:
\[\frac{dy}{dx} = \frac{y}{x}\left\{ \log y - \log x + 1 \right\}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = \frac{y}{x} + \sin\left( \frac{y}{x} \right)\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left[ x\sqrt{x^2 + y^2} - y^2 \right] dx + xy\ dy = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x\frac{dy}{dx} = y - x \cos^2 \left( \frac{y}{x} \right)\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Find the particular solution of the differential equation \[\frac{dy}{dx} = \frac{xy}{x^2 + y^2}\] given that y = 1 when x = 0.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following initial value problem:-
\[y' + y = e^x , y\left( 0 \right) = \frac{1}{2}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following initial value problem:-
\[x\frac{dy}{dx} - y = \log x, y\left( 1 \right) = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following initial value problem:-
\[\frac{dy}{dx} + 2y = e^{- 2x} \sin x, y\left( 0 \right) = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
