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Differential Equations
Find the complete integral of p2+q2-2px-2qy+1=0 .
Differential Equations
Find the integral surface of the linear partial differential equation
x(y2+z)p-y(x2+z)q=(x2-y2)z,
which contains the straight line x+y=0 , z=1 .
x(y2+z)p-y(x2+z)q=(x2-y2)z,
which contains the straight line x+y=0 , z=1 .
Differential Equations
Find the envelope of the family of spheres with centre (l,m,o) and radius one . Also obtain the equation of the characteristic curve of the family when l=m .
Differential Equations
Find the differential equation of the space curve in which the two families of surfaces ax2+by2+cz2=u and a2x2+b2y2+c2z2=v intersect .
Differential Equations
Solve the differential equation xdy-(3y+x5(y)1/3)dx=0 .
Differential Equations
Solve : xy'-y=(e)y' . Also obtain its singular solution.
Differential Equations
Solve the differential equation:
(x y2 -x2)dx + (3x2y2+x2y-2x3+y2)dy=0 .
(x y2 -x2)dx + (3x2y2+x2y-2x3+y2)dy=0 .
Differential Equations
solve the differencial equation:
y sin 2x dx= (1+y2+(cos)2 x)dy.
y sin 2x dx= (1+y2+(cos)2 x)dy.
Differential Equations
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PDE: Initial Value Problem.
U_tt - c^2U_xx = 0 x in R, t greater than or equal to 0, c = 1.
U(x,0) = #(x)
U_t(x,0) = 0
Define #(x) = 1 if (abs. value)x less than or equal to 1, 0 if (abs. value)x greater than 1.
Find formula for the solution u(x,t) for any x in R, t greater than or equal to 0.
Sketch the graph of u(x,t) as a function of x for t = 0, t = 1/2, t = 1, t = 2.
Explain why the area under the graph dfoes not change with it.
PDE: Initial Value Problem.
U_tt - c^2U_xx = 0 x in R, t greater than or equal to 0, c = 1.
U(x,0) = #(x)
U_t(x,0) = 0
Define #(x) = 1 if (abs. value)x less than or equal to 1, 0 if (abs. value)x greater than 1.
Find formula for the solution u(x,t) for any x in R, t greater than or equal to 0.
Sketch the graph of u(x,t) as a function of x for t = 0, t = 1/2, t = 1, t = 2.
Explain why the area under the graph dfoes not change with it.
Differential Equations
Solve the differencial equation y" = 1+(y')2.
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Exceptional experts! I appreciate your help. God bless you!
#340153 on Dec 2023
#340153 on Dec 2023