Differential Equations Answers

Show complete solution. Use equation function.

1)Find the general solution to the equation (cos y + 2) dy/dx = 2x.

Show complete solution. Use equation function.

1. Find the general solution of ada = 9x²dx- ydy.

2. Find the particular solution of y' = ycosx/1+2y² given y (x) = 1; y (0) = 1.

3. Find the general solution to the equation (cos y + 2) y' = 2x.

^partial

Determine the temperature distribution u(x, t) in a bar of length L, whose ends are kept at zero

temperature, and whose initial temperature is:

i) u(x, 0) = f(x) = U₀

ii) u(x, 0) = f(x) = k sin πx/L

(𝑥 − 𝑦)𝑦2𝑝 + (𝑦 − 𝑥)𝑥2𝑞 = (𝑥2 + 𝑦2)𝑧,

Find the Integra surface when 𝑥𝑧 = 𝑎3 (𝑎 > 0), 𝑦 = 0.

q-px-p^2=0

(xy²+ x -2y +3) dx ( x²y -2x -2y) dy =0

Solve dy/dx-4y=2x^2 using the method exploit the superstition.

Using the method of undetermined coefficients, find the general solution of the DE y^iv -2y^m+2yⁿ=3e^-x+2e^-x+e^-xsin x.

Solve the following by Cauchy Euler differential Equation 4x^2 (d^2 y)/(dx^2 )-4x dy/dx+3y=sin⁡(ln(-x))            x<0