Differential Equations Answers

(y+xz)p-(x+yz)q=x²-y²

Solve: z( p − q )= z^2 +( x + (y ^2))

Solve the differential equation

dy/dx + (x/1-x^2)y = x√y, y(0) = 1.

For 0 < x < 5 and t > 0 , solve the one-dimensional heat flow equation ∂u/ ∂t=4d^2u/dx^2 the conditions u (t, 0)= u( t ,5)= 0 ,u(0,x) = x .

Solve: z( p − q )= z^2 +( x + y ^2)

Solve the following differential equations

i) y sin 2x dx =(1+ y² + cos² x) dy


ii) (xy² - x²) dx + ( 3x²y² + x²y - 2x³ + y²) dy =0

Solve the differential equation y"=1+(y')^2

Find the deflection of vibration of string of unit length having fixed ends with initial velocity zero and initial deflection f(x)=a (x-x2)

. Find the general solution of the partial differential equation



6uxx −5uxy −6uyy =52e3x+2y

Dy/dx+{x/(1-x^2)}y=x√y,y(0)=1