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Differential Equations
Reduce into canonical form
Uxx+Uxy+Uyy+Ux=0
Uxx+Uxy+Uyy+Ux=0
Differential Equations
reduce into canonical form
Uxx-2sinxUxy-cos^2xUyy-cosxUy=0
Uxx-2sinxUxy-cos^2xUyy-cosxUy=0
Differential Equations
Zxx+x^2Zxy-1/xZx=0
Differential Equations
Zxx+2Zxy+Zyy=0
Differential Equations
yZxx+(x+y)Zxy+xZyy
Differential Equations
8Uxx-8Uxy+2Uyy+17Ux-13Uy=0
Differential Equations
1. Show whether or not the following differential equations are separable:
1.1 "\\frac{dy}{dx}=\\frac{x+1}{y-1}"
1.2 "\\frac{dy}{dx}=\\frac{ye^{x}+y}{x^2+2}"
1.3 "\\frac{ds}{dt}=t\\ln(s^{2t})+8t^2"
Differential Equations
Obtain the solution of the wave equation ∂^u/∂t^2=c^2(∂^2u/∂x^2);0⩽x⩽π,t≥0 with the conditions u(0,t)=0,u(π,t)=0,u(x,0)=0 and ut(x,0)=sin3x+(sin5x/2).
Differential Equations
Find the solution of the wave equation ∂^u/∂t^2=c^2(∂^2u/∂x^2) subject to u(0,t)=0,u(π,t)=0 for all t, u(x,0)=x^2(x-π),ut(x,0)=Sin3x for 0⩽x⩽π.
Differential Equations
integral curve of dx/y^2+yz+x^2= dy/y^2-xz+x^2=dz/z(x+y)
