Differential Equations Answers

Solve (2D^2D'-3DD'^2+D'^3)z=0

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

Solve
(D^2+5DD'+5D'^2)z= x.sin(3x-2y)

Solve the following simultaneous differential equations
dx/y^2×(x-y)= dy/-x^2×(x-y)= dz/z×(x^2+y^2)

Using the transformation T=z^2/2, reduce the equation f(x,y,z,p,q)= x(y^2+z^2×q^2)- zy^2×p=0 to a form f(P,x)= g(Q,y) where p= ∂T/∂x, Q= ∂T/∂y

solve (D³ – 7DD'² –6D'³)z = sin(x+2y) + e^2x+y

Determine coefficients a and b such that p(x)=x2+ax+b satisfies p(1)=−6 and p′(1)=3.

a=


b=

Pde(b-c/a)yzp+(c-a/b)zxq=(a-b/c)xy

The primitive of the partial differential equation
√p + √q = 2x , is 1/6×(2x-a)^3+a^2y+b
True or false with full explanation

the function q(t)=q.e^-kt may be used to model radioactive decay. Q represents the quantity remaining after t years; k is the decay constant. the decay constant for polutonium-240 is k+0.00011. what is the half life in year?