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Mathematics
\[\frac{dy}{dx} = e^{x + y} + e^{- x + y}\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = \left( \cos^2 x - \sin^2 x \right) \cos^2 y\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
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Solve the following differential equation:
(xy2 + 2x) dx + (x2 y + 2y) dy = 0
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
Solve the following differential equation:
\[\text{ cosec }x \log y \frac{dy}{dx} + x^2 y^2 = 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
Solve the following differential equation:
\[xy\frac{dy}{dx} = 1 + x + y + xy\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
Solve the following differential equation:
\[y\left( 1 - x^2 \right)\frac{dy}{dx} = x\left( 1 + y^2 \right)\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
Solve the following differential equation:
\[y e^\frac{x}{y} dx = \left( x e^\frac{x}{y} + y^2 \right)dy, y \neq 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
Solve the following differential equation:
\[\left( 1 + y^2 \right) \tan^{- 1} xdx + 2y\left( 1 + x^2 \right)dy = 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = y \tan 2x, y\left( 0 \right) = 2\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[2x\frac{dy}{dx} = 3y, y\left( 1 \right) = 2\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[xy\frac{dy}{dx} = y + 2, y\left( 2 \right) = 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = 2 e^x y^3 , y\left( 0 \right) = \frac{1}{2}\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dr}{dt} = - rt, r\left( 0 \right) = r_0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = y \sin 2x, y\left( 0 \right) = 1\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = y \tan x, y\left( 0 \right) = 1\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[2x\frac{dy}{dx} = 5y, y\left( 1 \right) = 1\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = 2 e^{2x} y^2 , y\left( 0 \right) = - 1\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\cos y\frac{dy}{dx} = e^x , y\left( 0 \right) = \frac{\pi}{2}\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = 2xy, y\left( 0 \right) = 1\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = 1 + x^2 + y^2 + x^2 y^2 , y\left( 0 \right) = 1\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
