Mathematics | Proveiff Study

how do you solve (x-2)y’+y=0 by power series solution about x=0

By SK Math Expert December 16, 2021Advanced Math, Mathematics, ODEs

Question : solve (x-2)y’+y=0 by power series solution about x=0 Solution: To solve (x-2)y’+y=0 by power series (x-2)y’+y=0 about x =0 Given ode \[\left(x-2\right)y^\prime+y=0 \] (1) Let power series of…

how to Apply power series method to solve y’’-xy=x

By SK Math Expert December 16, 2021Advanced Math, Mathematics, ODEs

Question : Apply power series method to solve y’’-xy=x Solution: We shall Apply power series method to solve y’’-xy=x Given ode \[y^{\prime\prime}-xy=x\] (1) Let power series \[y=\sum_{n=0}^{\infty}{a_nx^n} \] Is a…

Find the direction cosines of the sides of the triangle whose vertices are

By SK Math Expert December 15, 2021Advanced Math, Geometry

Question : Find the direction cosines of the sides of the triangle whose vertices are (3, 5, – 4), (– 1, 1, 2) and (– 5, – 5, – 2).…

how to Show that the (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear points

By SK Math Expert December 15, 2021Advanced Math, Geometry

Question : Show that the (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear points. Solution : To Show that the points (2, 3, 4), (–…

If a line has the direction ratios –18, 12, – 4, then what are its direction cosines

By SK Math Expert December 15, 2021Advanced Math, Geometry

Question : If a line has the direction ratios –18, 12, – 4, then what are its direction cosines ? Solution ; If a line has the direction ratios a,…

how do you Find the direction cosines of a line which makes equal angles with the coordinate axes.

By SK Math Expert December 15, 2021Geometry

Question : Find the direction cosines of a line which makes equal angles with the coordinate axes. Solution : If a line makes angles α , β , γ with…

If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines

By SK Math Expert December 15, 2021Geometry

Question : If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines. Solution: If a line makes angles α , β…

What is gradient ? Write a gradient example

By SK Math Expert December 9, 2021Abstract Algebra, Mathematics, Multivariable Calculus

Question : What is gradient ? Write a gradient example Solution : Gradient Gradient is an vector operator that operates on a scalar function and obtained it's vector differentiation. It…

How do you find gradient of modulus of position vector?

By SK Math Expert December 9, 2021Abstract Algebra, Mathematics, Multivariable Calculus

Question : How do you find gradient of modulus of position vector? Solution : We shall find gradient of modulus of position vector as follows Position vector of an object…

What is curl of a vector? how do you find curl of position vector ?

By SK Math Expert December 9, 2021Abstract Algebra, Mathematics, Multivariable Calculus

Question : What is curl of a vector? how do you find curl of position vector ?. Solution : Curl : Curl of a vector is an operator that operates…