Find the particular solution of the differential equation: (x² - 2y²) dx + 2xy dy = 0, when x = 1 and y = 1

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Particular Solution of a Differential Equation, Homogeneous Differential Equations, Solution of Homogeneous Differential Equations | PadhAiPro

Question

TextParticular Solution of a Differential EquationHomogeneous Differential EquationsSolution of Homogeneous Differential Equations

The differential equation dy/dx = F(x, y) will not be a homogeneous differential equation, if F(x, y) is :

Find the particular solution of the differential equation given by 2xy + y² – 2x² dy/dx = 0; y = 2, when x = 1.

Solution of Homogeneous Differential Equations

Linear Differential Equations of First Order

Find the general solution of the differential equation : y dx = (x + 2y²) dy

Find the particular solution of the differential equation dy/dx = y cot 2x, given that y(π/4) = 2.

Find the particular solution of the differential equation (xe^(y/x) + y) dx = x dy, given that y = 1 when x = 1.

Find the particular solution of the differential equation dy/dx − 2xy = 3x² e^(x²) ; y(0) = 5.