Differential Equations Answers

Solve the following equations using Wronskian’s method d³y/dx³+3d²y/dx²+3dy/dx+y=(x+40)e^-x

Solve the following equations using Wronskian’s method

x²d²y/dx²-3xdy/dx+40y=x²sin(logx)

 Solve the following system of ODE

(40D+4)y - (2D+1)z = e^-x

(D+8)y - 3z = 5e^-x ; D=d/dx

Show that v(x, y;a, b)= (x+y)[2xy+(a-b)(x-y)+2ab]/(a+b)³ is the Reimann function for second order pde u_xy + (2/x+y)(u_x + u_y)=0

Let u(x, t) be a solution of the one- dimensional wave equation and A, B, C and D be any vertices of any parallelogram whose sides are characteristics wave (i.e the line parallel to x+ct=0, x-ct=0)

Then show that u(A)+u(C)=u(B)+u(D)

The line (x-y)/3=(y+1)/4=(z-2)/3 passes through the point (4,2,3). Is it true or false. Give reasons for your answer

The function f(x,y,z)=max{y/x} is a homogeneous function on R².is it true or false.give reasons for your answer

2xy′′ + (x+1)y ′ +3y = 0; Find the series solution of the following equations near x = 0:

what is method of finding the solution of the 2nd order partial differential equations by using laplace transform method?

(D^2 - D'^2 - 3D + 3D')z = xy