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Differential Equations
Solve the boundary value problem:
∂u/∂t = β(∂^2u/∂x^2), 0 < x < L, t > 0
u(0, t) = 0, u(L, t) = 0, t > 0
u(x, 0) = f(x) 0 < x < L
∂u/∂t = β(∂^2u/∂x^2), 0 < x < L, t > 0
u(0, t) = 0, u(L, t) = 0, t > 0
u(x, 0) = f(x) 0 < x < L
Differential Equations
Solve the differential equation.
(D²+D+D')z=0
(D²+D+D')z=0
Differential Equations
Solve the Lagrange's equation (1-x^2)y"-2xy'+n(n+1)y=0
Differential Equations
Solve the initial value Problem
dN/dt = τ (N − N^2/q) N(0) = No, where τ, q are positive. Hence or otherwise, find the solution of the Verhulst model
when t → ∞
dN/dt = τ (N − N^2/q) N(0) = No, where τ, q are positive. Hence or otherwise, find the solution of the Verhulst model
when t → ∞
Differential Equations
Find the Wronskian of a given set {y1, y2} of solutions of
(1 − x^2)y" − 2xy' + α(α + 1)y = 0 when W(0) = 1
(1 − x^2)y" − 2xy' + α(α + 1)y = 0 when W(0) = 1
Differential Equations
(2+2y^2)dx+3xy^2dy=0
Differential Equations
Solve y^2dx-z dy+dz=0 equation for
Exact differential equation Method
Exact differential equation Method
Differential Equations
Solve the PDE
(x+2z)p+(4zx-y)q=2x² +y
(x+2z)p+(4zx-y)q=2x² +y
Differential Equations
Verify that u=2x+a−−−−−√+2y+b−−−−−√ is a solution of the equation ∂x∂u+∂y∂u=u.
Differential Equations
Solve the differential equation (D^2+4)y=cosec2x in the method of variation of parameters
