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q= (z+px)^2 solve by charpit's method.
Calculate the Laplace transform of
β’ (t) integral from (0 to t) (T)e^(T)dT
Find the general solution for the differential equation
-y"=6x + xe^x
(a) using method of undetermined coefficients
(b) using variation of parameters
prove that a neccessary and sufficient condition Bor a surface to be dovelopable us that its Gaussian cuivatuie alpha9 .
(π₯π¦2+ π¦ β π₯)ππ₯ + π₯(π₯π¦ + 1)ππ¦ = 0
A particle falls under constant gravity through a distance x, starting from rest. A small resistance per unit mass equal to k times the square of the velocity,acts on the particle. Show that the kinetic energy acquired is approximately mgx(1-kx), neglecting higher powers of k.
Find complete integral of 2p1x2x3 + 3p2x3^2 + P2 ^2 P3 = 0
Β An RCL circuit connected in series has R = 10 ohms, C = 10^2 farad, L = 1.5 henry, and an applied voltage E = 12 volts. Assuming no initial current and no initial charge at t = 0 when the voltage is first applied, find the subsequent current in the system.
Solve the equation (π₯ + π πππ¦)ππ₯ + (π¦2 + π₯πππ π¦)ππ¦ = 0
Find the orthogonal trajectories of the following curves (where a is a parameter). r = a(1 + sin ΞΈ)
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