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Karnataka Board PUCPUC Science 2nd PUC Class 12

PUC Science 2nd PUC Class 12 - Karnataka Board PUC Question Bank Solutions for Mathematics

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\[\frac{dy}{dx} + 2x = e^{3x}\]
[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

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\[\frac{dy}{dx} = \frac{1 - \cos x}{1 + \cos x}\]
[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
\[\sin^4 x\frac{dy}{dx} = \cos x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\cos x\frac{dy}{dx} - \cos 2x = \cos 3x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\sqrt{1 - x^4} dy = x\ dx\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\sqrt{a + x} dy + x\ dx = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( 1 + x^2 \right)\frac{dy}{dx} - x = 2 \tan^{- 1} x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = x \log x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = x e^x - \frac{5}{2} + \cos^2 x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( x^3 + x^2 + x + 1 \right)\frac{dy}{dx} = 2 x^2 + x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\sin\left( \frac{dy}{dx} \right) = k ; y\left( 0 \right) = 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
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