Differential Equations Answers

Solve the following initial value problem using Laplace transform. y''+16y = 2 sin 4t, y(0)=-1/2; y'(0)=0 

Find a power series solution pf xy'=y

Solve the equation of x²p²+xp-(y²+y)=0

Solve (y ^ 2 * z)/x * p + xzq = y ^ 2 .

Solve (D^3-6D^2D'+12DD'^2-8D'3)z=e^2x+y

verify the function u(x,y)=e^xsiny is one of the solution of uxx+uyy=0

Solve the exact differential equation = ( x - 2e^y ) dy + y + ( xsin(x) ) dx = 0

Solve the differential equation = x dy / dx + 2y = x⁴

( x - 2e^y ) dy + y + ( xsin(x) ) dx=0

Formulate the differential equation representing the relationship of current (i), voltage (v), inductance(L) and time t.