Classify the Des in terms of Number of Variables Order Linea

Classify the Des in terms of Number of Variables, Order, Linearity, Homogeneity, Type of Coefficients, and Number of Boundary Conditions Needed. And if it is a PDE, specify also the Type (and Region) of the PDE. 5y^n - (y\')^4 - 2xy - 7 = 0 phi_xx + 2phi_xy + phi_yy - 3phi_y + 2x^2 phi_x = 0 m_1x_1\" + k_1x_1 - (k_2 + k_3)x_2 = f_1 (t) m_2x_2\" - (k_1 + k_2)x_1 + k_3x_2 = f_2(t)

Solution

(a) given 5y\" - (y\')⁴ - 2xy - 7 =0

its a second order equation,

Number of variables = 2

the above given equation is homogeneous equation.

its a non linear equation and we need some additional information to solve the question