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Differential Equations
Using power series method,solve the following differential equation
(x3+3)y"+4xy'+y=0
Differential Equations
- A certain substance can cool itself from 110°C to 70°C in 15minutes. If the air’s temperature is 30°C, how long will it take to cool from 110°C to 50°C?
Differential Equations
find the relation between D and Δ of following differential equation 4(2x+1)^2 d^2y/dy^2 -4(2x+1)dy/dx + 3y =ln(2x+1))
Differential Equations
Solve the equation (Bernoulli Differential Equation)
(2y^3 - x^3) dx + 3x^2y dx = 0
Differential Equations
Given that y1=√x lnx is a solution of
4x^2 y"+y=0
Use the reduction of order to obtain the general solution on (0, ∞) show that tge set of solutions (y1, y2) is a fundamental set
4x^2 y"+y=0
Use the reduction of order to obtain the general solution on (0, ∞) show that tge set of solutions (y1, y2) is a fundamental set
Differential Equations
(x^2 - 1)dy - (y^2 - 1)dx
Differential Equations
ut =9uxx
u(0,t)=u(2π,t) 0, t > 0
u(x,0) = {x , 0 < x < π
{- 3x, π < x < 2π
Differential Equations
ut =50uxx
u(0,t) = u(π,t) = 0, t > 0
u(x,0) = { x , 0 < x < π / 2
{ 4 , π / 2 < x < π
Differential Equations
prove that u(x,y)=x2y is an integrating factor of the equation
(3y+4xy2)dx+(2x+3x2y)dy=0
Hence solve the equation
Differential Equations
Find an integrating factor of the form yn for the equation
(y2+2xy)dx-x2dy=0. Hence solve the equation
