Find `int((3 sin x - 2) cos x)/(13 - cos^2 x- 7 sin x) dx`
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\frac{y}{x}\cos\left( \frac{y}{x} \right) dx - \left\{ \frac{x}{y}\sin\left( \frac{y}{x} \right) + \cos\left( \frac{y}{x} \right) \right\} dy = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[xy \log\left( \frac{x}{y} \right) dx + \left\{ y^2 - x^2 \log\left( \frac{x}{y} \right) \right\} dy = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( 1 + e^{x/y} \right) dx + e^{x/y} \left( 1 - \frac{x}{y} \right) dy = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( x^2 + y^2 \right)\frac{dy}{dx} = 8 x^2 - 3xy + 2 y^2\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
(x2 − 2xy) dy + (x2 − 3xy + 2y2) dx = 0
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x\frac{dy}{dx} = y - x \cos^2 \left( \frac{y}{x} \right)\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x\frac{dy}{dx} - y = 2\sqrt{y^2 - x^2}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x \cos\left( \frac{y}{x} \right) \cdot \left( y dx + x dy \right) = y \sin\left( \frac{y}{x} \right) \cdot \left( x dy - y dx \right)\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
(x2 + 3xy + y2) dx − x2 dy = 0
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( x - y \right)\frac{dy}{dx} = x + 2y\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
(2x2 y + y3) dx + (xy2 − 3x3) dy = 0
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x\frac{dy}{dx} - y + x \sin\left( \frac{y}{x} \right) = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[y dx + \left\{ x \log\left( \frac{y}{x} \right) \right\} dy - 2x dy = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following initial value problem:
(x2 + y2) dx = 2xy dy, y (1) = 0
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following initial value problem:
\[x e^{y/x} - y + x\frac{dy}{dx} = 0, y\left( e \right) = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following initial value problem:
\[\frac{dy}{dx} - \frac{y}{x} + cosec\frac{y}{x} = 0, y\left( 1 \right) = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following initial value problem:
(xy − y2) dx − x2 dy = 0, y(1) = 1
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following initial value problem:
\[\frac{dy}{dx} = \frac{y\left( x + 2y \right)}{x\left( 2x + y \right)}, y\left( 1 \right) = 2\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following initial value problem:
(y4 − 2x3 y) dx + (x4 − 2xy3) dy = 0, y (1) = 1
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
