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Science (English Medium) Class 12 - CBSE Question Bank Solutions

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\[\frac{dy}{dx} = e^{x + y} + e^y x^3\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[y\sqrt{1 + x^2} + x\sqrt{1 + y^2}\frac{dy}{dx} = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

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\[\sqrt{1 + x^2} dy + \sqrt{1 + y^2} dx = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\sqrt{1 + x^2 + y^2 + x^2 y^2} + xy\frac{dy}{dx} = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = \frac{e^x \left( \sin^2 x + \sin 2x \right)}{y\left( 2 \log y + 1 \right)}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = \frac{x\left( 2 \log x + 1 \right)}{\sin y + y \cos y}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

(1 − x2) dy + xy dx = xy2 dx

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

tan y dx + sec2 y tan x dy = 0

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

(1 + x) (1 + y2) dx + (1 + y) (1 + x2) dy = 0

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

tan y \[\frac{dy}{dx}\] = sin (x + y) + sin (x − y) 

 

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\cos x \cos y\frac{dy}{dx} = - \sin x \sin y\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} + \frac{\cos x \sin y}{\cos y} = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x\sqrt{1 - y^2} dx + y\sqrt{1 - x^2} dy = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

y (1 + ex) dy = (y + 1) ex dx

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

(y + xy) dx + (x − xy2) dy = 0

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = 1 - x + y - xy\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

(y2 + 1) dx − (x2 + 1) dy = 0

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

dy + (x + 1) (y + 1) dx = 0

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( x - 1 \right)\frac{dy}{dx} = 2 x^3 y\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = e^{x + y} + e^{- x + y}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
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