Differential Equations Answers

A circuit has in series an electromotive force given by E=40-sin35tV, a resistor of 10Ω, and an inductor of 0.4H . If the initial current is 2 , find the current at time t>2.

0.4i'+10i=40-sin35t

Find the solution of Non-exact D.E

Given:

(x+4y^3)dy-ydx=0

Find the solution of Bernoulli Equation

Given:

2xdy+y(y^2lnx-1)dx=0

Find the solution of Bernoulli Equation

Given:

dy+ydx=(2xy^2)e^xdx

Find the solution of Non-Exact D.E

Given:

(x+4y^3)dy-ydx=0

(x^3 - x)dy/dx - (3x^2 - 1)y = x^5 - 2x^3 + x , y(1) = 1

Find the general solution of non-homogenous linear differential equation with constant coefficients.

(D² - 3D + 2)y = 5e^2x

2yy′=x  and  y(2)=3.

A spring is such that a 16 lb weight stretches it by 1.5 in. The weight is pulled down to a point

4 in below the equilibrium point and given an initial downward velocity of 4 ft/sec. An impressed

force of F(t) = 2 cos 74t is acting on the spring. Describe the motion.