Differential Equations Answers

Find the integral surface of the equation x²p+y²q+z²=0 passing through z=1,x+y=xy

write the ordinary differential equation (1+sin y)dx = (2ycosy-x(secy-tan y))dy

solve the ODE (3x²+4xy-6)dy+(6xy+2y²-5)=0

Differential Equation: y^2dx-x(2x+3y)dy=0

A body of unknown temperature is placed in a refrigerator at a constant temperature of 0∘F, If after 20 minutes the temperature of the body is 40∘F, and after 40 minutes the temperature of the body is 20∘F, find the initial temperature of the body.

Find the complete integral of pq=1 by charpit's method

A body of unknown temperature is placed in a refrigerator at a constant temperature of 0∘F, If after 20 minutes the temperature of the body is 40∘F, and after 40 minutes the temperature of the body is 20∘F, find the initial temperature of the body.

Homogeneous differential equation

1. (xy^2)dx-(x^3+y^3)dy=0

2. (x^2+y^2)dx+xydy=0

3. (y^2-x^2)dx+2xydy=0

4. (3x+2y)dx-2xdy=0

a capacitor C=0.01F in series with a resistor R=20 ohm is charged from a batter E=10V . assuming that initially the capacitor is completely uncharged , determine the charge Q(t) and the current i(t) at any time t.

2dy/dx+y=x^2