Mathematics Homework Solutions

Reduction Order Formula

Differential Equations. See attached file for full problem description.

Reduction Formula

Please show problem step by step I need very detailed info so I can memorize steps for upcoming quiz. Scanned work is ok as long as I can read it. y''- 4y =2; y1= e^(-2x). See attached file for full problem description.

General solutions of higher-order DE

Differential Equations. See attached file for full problem description. There are two problems 20,27

Solve initial value problem of Differential equation

Solve initial value problem of Differential equation. See attached file for full problem description.

Solve the following differential equation

(x+e^y)dy-dx=0 This is linear in "x". Can you show how it is integrated to the proper answer?

Classify and solve for Y

(e^x+1) dy/dx=y-ye^x Problem is seperable, solve for "y"

Integrating factor

solve for "c" (3y^2+2xy)dx-(2xy+x^2)dy =0 I see that the equation is not exact. differentiate the 1st side by My and the second by Nx. which gives me My=6y+2x and Nx= 2y+2x I add these togeter and divide by the "N" term and come up with an integrating factor of x^4. This still doesn't make the equation exact.

Diff EQ word problem

(See attached file for full problem description)

Undetermined coefficients

(See attached file for full problem description)

Initial value problem

(See attached file for full problem description)

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