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Mathematics
C' (x) = 2 + 0.15 x ; C(0) = 100
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[x\frac{dy}{dx} + 1 = 0 ; y \left( - 1 \right) = 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
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\[x\left( x^2 - 1 \right)\frac{dy}{dx} = 1, y\left( 2 \right) = 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} + \frac{1 + y^2}{y} = 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = \frac{1 + y^2}{y^3}\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = \sin^2 y\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = \frac{1 - \cos 2y}{1 + \cos 2y}\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\left( x - 1 \right)\frac{dy}{dx} = 2 xy\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
(1 + x2) dy = xy dx
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} = \left( e^x + 1 \right) y\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\left( x - 1 \right)\frac{dy}{dx} = 2 x^3 y\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
xy (y + 1) dy = (x2 + 1) dx
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[5\frac{dy}{dx} = e^x y^4\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
x cos y dy = (xex log x + ex) dx
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
Solve the differential equation \[\frac{dy}{dx} = e^{x + y} + x^2 e^y\].
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[x\frac{dy}{dx} + y = y^2\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
(ey + 1) cos x dx + ey sin x dy = 0
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
x cos2 y dx = y cos2 x dy
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
xy dy = (y − 1) (x + 1) dx
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[x\frac{dy}{dx} + \cot y = 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
