Differential Equations Answers

Applications of Electronics of Differential Equation in Physics

Solve

(D^2 + 1) y = x Sin x

Consider an electric circuit with an inductance of 5 henries

and a resistance of 12 ohms in series with an e.m.f 120sin200t

volts. Find the current

2ydx+x(x^2lny-1)dy=0

2. A certain radioactive substance has a half-life of 38 hours. Find how long it takes for 90% of

the radioactivity to be dissipated.

1.At 1:00 P.M., a thermometer reading 70°F is taken outside where the air temperature is -10°F. At 1:02 P.M., the reading is 26°F. At 1:05 P.M., the thermometer is taken back indoors, where the air is at 70°F. What is the temperature reading at 1:09 P.M.?

Coefficients linear in two variables

(3x − y + 2) dx + (9x − 3y + 1)dy = 0

Bernoulli’s Equation

(y^4 − 2xy)dx + 3x^2 dy = 0 when y(1)=0

Substitution as suggested by the equation

sinxsinydx + cosxcosydy = 0