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Differential Equations
uxx - (sech^4x)uyy = 0
Reduce into canonical form and solve it
Reduce into canonical form and solve it
Differential Equations
2x(y+z^2)p+(2y+z^2)q=z^3
Differential Equations
Solve the initial value problem
y"+y=0 y(0)=2 y'(0)=0
y"+y=0 y(0)=2 y'(0)=0
Differential Equations
Solve Laplace’s equation for u(x, y):
d2y/dx2 + d2u/dy2 = 0
0 < x < 2 , 0 < y < 1
u(x, 0) = sin πx , u(x, 1) = x/2
u(0, y) = sin πy , u(2, y) = y
d2y/dx2 + d2u/dy2 = 0
0 < x < 2 , 0 < y < 1
u(x, 0) = sin πx , u(x, 1) = x/2
u(0, y) = sin πy , u(2, y) = y
Differential Equations
Solve the differential equation
d^2y/dx^2-2dy/dx+y=x^2e^2x
d^2y/dx^2-2dy/dx+y=x^2e^2x
Differential Equations
Solve the differential equation
dy/dx= x+2y-3/2x+y-3
dy/dx= x+2y-3/2x+y-3
Differential Equations
Find a homogeneous linear differential equation with constant coefficient that is satisfied by y=4xe^xsin2x
Differential Equations
y'=(y/x)+tan(y/x)
Differential Equations
Obtain the least-order differential equation x = c1sin (y + c2)?
Differential Equations
solve
solve dy/dx = 2( cos^2x) - sinx^2 y^2 /2cosx ;y(0)=-1
solve dy/dx = 2( cos^2x) - sinx^2 y^2 /2cosx ;y(0)=-1
