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Differential Equations
Solve y"-5y'-6y=e^(-2t) where y’(0) = 1 and y(0) = -1 using LaPlace Transforms
Differential Equations
find the solution of :-
x'(t)= -1/2 *x(t)+2x(t-1)e^(-5x(t-1))
where x(t)=1 , t belongs to [-1,0]
x'(t)= -1/2 *x(t)+2x(t-1)e^(-5x(t-1))
where x(t)=1 , t belongs to [-1,0]
Differential Equations
(b) Locate the critical points and determine their nature for the function
f(x)=-2x2+1/4x2
f(x)=-2x2+1/4x2
Differential Equations
Identify the typesof differential equation, such linear/nonlinear, homogeneous/nonhomogeneous
Solve the initial value problem
Determine the interval of exsistence, if you can find an explicit solution
y' + 2ty = 4t, y(0) = -4
dy/dt + 1/t*y = ty^2
y' = -y +ty^-2, y(0) = 2
(2y - siny)y' + t =sint, y(0) = 0
Solve the initial value problem
Determine the interval of exsistence, if you can find an explicit solution
y' + 2ty = 4t, y(0) = -4
dy/dt + 1/t*y = ty^2
y' = -y +ty^-2, y(0) = 2
(2y - siny)y' + t =sint, y(0) = 0
Differential Equations
Determine whether the given differential equation is exact. If it is exact, solve it.
(5x+4y) dx + (4x-8y^3) dy =0.
(5x+4y) dx + (4x-8y^3) dy =0.
Differential Equations
A roach R I once met was mortally afraid of walls, and so when it walked on my kitchen's floor, its speed was exactly proportional to its distance from the nearest wall (that is, very near a wall it crawled very slowly, while in the centre of the room it run around quickly and happily). As a step towards simplifying R's life, help it find the fastest path from one point in the upper half plane {y>0} to another point in the upper half plane, assuming there is only one wall around, built along the x-axis y=0.
Differential Equations
Differential Equations
how to differentiate x = L sin Ɵ/2 + L/2 sin Ɵ/2
Differential Equations
form the differential equation for the following family of curves y=c1*(e^x)+(e^c1)*e^(2x)+(ln(c1))*e^(3x) .
Differential Equations
find radius of curvature at point (s,psi) of the curve s=a log tan (pi/4+psi/4).
