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Differential Equations
If p = dy/dx, show that d^2y/ dx^2 = p(dp/dy).
Hence find the solution y = f(x) of the differential equation y(d^2y/dx^2) = 2(dy/dx) + (dy/dx)^2.
Hence find the solution y = f(x) of the differential equation y(d^2y/dx^2) = 2(dy/dx) + (dy/dx)^2.
Differential Equations
A particle A moves in a resisting medium in a straight line such that its distance x from a fixed point O satisfies the equation d^2x/dt^2 + p(dx/dt) + qx = 0, where p and q are constants. Find the condition(s) on p and q such that the motion of A is
(i) simple harmonic.
(ii) damped harmonic.
In the case where the motion is damped harmonic, find
(iii) the damping factor.
(iv) the period of the motion.
(i) simple harmonic.
(ii) damped harmonic.
In the case where the motion is damped harmonic, find
(iii) the damping factor.
(iv) the period of the motion.
Differential Equations
Solve the differential equation by jacobi's method (p2+q2)y=qz
Differential Equations
y''+y'-2y=e^x+4sinx+x^2-x operator method differential equations
Differential Equations
𝑥𝑝𝑞 + 𝑦q2 = 1
Differential Equations
2dy/dx-2y=x5sin2x-x3+4x4
Differential Equations
If(x, y, z, w) =0 then find (delx/dely) *(dely/delz) *(delz/delw) *(delw/delx)
Differential Equations
Charpit’s method,xpq + yq
2 = 1
Differential Equations
Find the complete integral of partial differential equations z+xp-x2yq2-x3pq =0
Differential Equations
Linear differential equation with constant coefficient
d³y/dx³-13dy/dx+12y
