Showing posts with label Engineering Mathematics. Show all posts
Showing posts with label Engineering Mathematics. Show all posts
Engineering Mathematics Full Solution PDF file.
Describe the execution unit (EU) of 8086 microprocessor.
Solve in series differential equation x^2 y^'' + xy^' + (x^2 - n^2)y = 0
Prove that, J_2 (x) = 〖J^''〗_0 (x) - (〖J^'〗_0 (x))/x
Prove that, J_0 (x) = 2/π ∫_0^1▒cos⁡(xt)/√(1- t^2 ) dt
J_(3⁄2) (x) = √((2/πx) ) [sin⁡x/x - cos⁡x]
Prove that, 2n/x J_n (x) = J_((n-1) ) (x) + J_((n+1) ) (x)
Prove that, J_(-1⁄2) (x) = √((2/πx) ) cos⁡x
Prove that, J_(-1⁄2) (x) = √((2/πx) ) cos⁡x
Show that, J_(5⁄2) (x) = √(2/πx) [(3- x^2)/x^2 sin⁡x - (3 cos⁡x)/x]
Prove that d/dx [x^n J_n(x)] = x^n J_(n-1) (x)
Show that, J_(1⁄2) (x) = √((2/πx) ) sin⁡x
Using generating function show that, 2〖J^'〗_n (x) = J_((n-1) ) (x) - J_((n+1) ) (x)
Solve the differential equation (1 + x^2) (d^2 y)/(dx^2 ) + x dy/dx - y = 0 in power of x by Frobenious method.
Find the eign values and the corresponding eigen functions of the following sturm-liouville problem: y^'' + λy = 0; y (0) = 0; y^' (π) = 0
Find the eign values and corresponding eigen functions of the boundary value problem y^'' + λy = 0, y(π) = 0
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