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Differential Equations
How do we solve y''+y=cos x by variation of parameters method?
Differential Equations
(X^2) y"-2(x^2+x) y'+(x^2+2x+2) y=0
Differential Equations
Find the eigen value and eigen function of homogeneous integral equation
y(x)=
y(x)=
Differential Equations
Determine the Green, s function and express the solution as a definite integral
-y''=f(x), y(0)=0, y'(1)=0
-y''=f(x), y(0)=0, y'(1)=0
Differential Equations
Solve the initial value problem.
2y” - 11y’ + 12y =0 ; where y(0) = 5 and y’(0) = 15
Differential Equations
Eliminate the arbitrary constants.
y = x + Aex + Be-2x
Differential Equations
Find the differential equations for each family of curves under the following conditions:
a. straight lines with algebraic sum of the intercepts fixed at k.
b. circles with center on the y-axis.
c. straight lines with slope and y- intercept equal.
Differential Equations
verify whether y(x)= 2e-x + xe-x is a solution of y" + 2y' + y=0.
Differential Equations
show that y=ln (x) is a solution of xy" + y'=0.
Differential Equations
z=(x-y)F(x2+y2) obtain the partial differential equation by eliminating the arbiyrary function from the following equation
