Differential Equations Answers

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?

dy/dx = xy + 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

The primitive of the partial differential equation √p + √q = 2x , is 1/6(2x-a)^3 + a^2y +b

Solve: xp^2- (2x+3y)p + 6y=0 , p= dy/dx

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