\[\frac{dy}{dx}\] + y cos x = sin x cos x
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( \sin x \right)\frac{dy}{dx} + y \cos x = 2 \sin^2 x \cos x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( x^2 - 1 \right)\frac{dy}{dx} + 2\left( x + 2 \right)y = 2\left( x + 1 \right)\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x\frac{dy}{dx} + 2y = x \cos x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} - y = x e^x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{dy}{dx} + 2y = x e^{4x}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the differential equation \[\left( x + 2 y^2 \right)\frac{dy}{dx} = y\], given that when x = 2, y = 1.
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Find the general solution of the differential equation \[x\frac{dy}{dx} + 2y = x^2\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Find the general solution of the differential equation \[\frac{dy}{dx} - y = \cos x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the differential equation \[\left( y + 3 x^2 \right)\frac{dx}{dy} = x\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Find the particular solution of the differential equation \[\frac{dx}{dy} + x \cot y = 2y + y^2 \cot y, y ≠ 0\] given that x = 0 when \[y = \frac{\pi}{2}\].
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Solve the following differential equation:- \[\left( \cot^{- 1} y + x \right) dy = \left( 1 + y^2 \right) dx\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Write a value of
\[\int\frac{1 + \cot x}{x + \log \sin x} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
Write a value of
\[\int x^2 \sin x^3 \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
Write a value of
\[\int \tan^3 x \sec^2 x \text{ dx }\].
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
Write a value of
\[\int e^x \left( \sin x + \cos x \right) \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
Write a value of
\[\int \tan^6 x \sec^2 x \text{ dx }\] .
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
Write a value of
\[\int\frac{\cos x}{3 + 2 \sin x}\text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
Write a value of
\[\int e^x \sec x \left( 1 + \tan x \right) \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
Write a value of
\[\int e^{\text{ log sin x }}\text{ cos x}. \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
