\[xy\frac{dy}{dx} = y + 2, y\left( 2 \right) = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = 2 e^x y^3 , y\left( 0 \right) = \frac{1}{2}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dr}{dt} = - rt, r\left( 0 \right) = r_0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = y \sin 2x, y\left( 0 \right) = 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = y \tan x, y\left( 0 \right) = 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[2x\frac{dy}{dx} = 5y, y\left( 1 \right) = 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = 2 e^{2x} y^2 , y\left( 0 \right) = - 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\cos y\frac{dy}{dx} = e^x , y\left( 0 \right) = \frac{\pi}{2}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = 2xy, y\left( 0 \right) = 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = 1 + x^2 + y^2 + x^2 y^2 , y\left( 0 \right) = 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[xy\frac{dy}{dx} = \left( x + 2 \right)\left( y + 2 \right), y\left( 1 \right) = - 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} = 1 + x + y^2 + x y^2\] when y = 0, x = 0
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[2\left( y + 3 \right) - xy\frac{dy}{dx} = 0\], y(1) = −2
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the differential equation \[x\frac{dy}{dx} + \cot y = 0\] given that \[y = \frac{\pi}{4}\], when \[x=\sqrt{2}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the differential equation \[\left( 1 + x^2 \right)\frac{dy}{dx} + \left( 1 + y^2 \right) = 0\], given that y = 1, when x = 0.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the differential equation \[\frac{dy}{dx} = \frac{2x\left( \log x + 1 \right)}{\sin y + y \cos y}\], given that y = 0, when x = 1.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Find the particular solution of edy/dx = x + 1, given that y = 3, when x = 0.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Find the solution of the differential equation cos y dy + cos x sin y dx = 0 given that y = \[\frac{\pi}{2}\], when x = \[\frac{\pi}{2}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Find the particular solution of the differential equation \[\frac{dy}{dx} = - 4x y^2\] given that y = 1, when x = 0.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
The volume of a spherical balloon being inflated changes at a constant rate. If initially its radius is 3 units and after 3 seconds it is 6 units. Find the radius of the balloon after `t` seconds.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
