Search & Filtering
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
Evaluate: a) β¬ (π π¦ 2 + 1 π· )ππ΄ where D is the triangle with vertices (0,0), (-2,4) and (8,4). b) β¬ π₯ 5 sin(π¦ 4 ) ππ΄ π· where D is the region in the 2nd quadrant bounded by π¦ = 3π₯ 2 , π¦ = 12 and the y-axis
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 70Β°F is taken outside where the air temperature is -10Β°F. At 1:02 P.M., the reading is 26Β°F. At 1:05 P.M., the thermometer is taken back indoors, where the air is at 70Β°F. What is the temperature reading at 1:09 P.M.?
Coefficients linear in two variables
(3x β y + 2) dx + (9x β 3y + 1)dy = 0
Bernoulliβs Equation
(y^4 β 2xy)dx + 3x^2 dy = 0 when y(1)=0
Substitution as suggested by the equation
sinxsinydx + cosxcosydy = 0
