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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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Mathematics
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\[\left( x - 1 \right)\frac{dy}{dx} = 2 xy\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

(1 + x2) dy = xy dx

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

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\[\frac{dy}{dx} = \left( e^x + 1 \right) y\]
[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

xy (y + 1) dy = (x2 + 1) dx

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[5\frac{dy}{dx} = e^x y^4\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

x cos y dy = (xex log x + ex) dx

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the differential equation \[\frac{dy}{dx} = e^{x + y} + x^2 e^y\].
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x\frac{dy}{dx} + y = y^2\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

(ey + 1) cos x dx + ey sin x dy = 0

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

x cos2 y  dx = y cos2 x dy

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

xy dy = (y − 1) (x + 1) dx

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