Differential equation \[\frac{d^2 y}{d x^2} + y = 0, y \left( 0 \right) = 0, y' \left( 0 \right) = 1\] Function y = sin x
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Differential equation \[\frac{d^2 y}{d x^2} - \frac{dy}{dx} = 0, y \left( 0 \right) = 2, y'\left( 0 \right) = 1\]
Function y = ex + 1
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Differential equation \[\frac{dy}{dx} + y = 2, y \left( 0 \right) = 3\] Function y = e−x + 2
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Differential equation \[\frac{d^2 y}{d x^2} + y = 0, y \left( 0 \right) = 1, y' \left( 0 \right) = 1\] Function y = sin x + cos x
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Differential equation \[\frac{d^2 y}{d x^2} - y = 0, y \left( 0 \right) = 2, y' \left( 0 \right) = 0\] Function y = ex + e−x
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Differential equation \[\frac{d^2 y}{d x^2} - 3\frac{dy}{dx} + 2y = 0, y \left( 0 \right) = 1, y' \left( 0 \right) = 3\] Function y = ex + e2x
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Differential equation \[\frac{d^2 y}{d x^2} - 2\frac{dy}{dx} + y = 0, y \left( 0 \right) = 1, y' \left( 0 \right) = 2\] Function y = xex + ex
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = x^2 + x - \frac{1}{x}, x \neq 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = x^5 + x^2 - \frac{2}{x}, x \neq 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} + 2x = e^{3x}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( x^2 + 1 \right)\frac{dy}{dx} = 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = \frac{1 - \cos x}{1 + \cos x}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( x + 2 \right)\frac{dy}{dx} = x^2 + 3x + 7\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = \tan^{- 1} x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = \log x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{1}{x}\frac{dy}{dx} = \tan^{- 1} x, x \neq 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = \cos^3 x \sin^2 x + x\sqrt{2x + 1}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
(sin x + cos x) dy + (cos x − sin x) dx = 0
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} - x \sin^2 x = \frac{1}{x \log x}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = x^5 \tan^{- 1} \left( x^3 \right)\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
