Find the solution y'-e^(-2x)=0 , y(0) = 3.5

Find the solution

y'-e^(-2x)=0 , y(0) = 3.5

Expert Solution

Given

can be evaluated as follows

let

Substituting for u

We have given that y(0)=3.5

put x=0 and y=3.5 we have

Solve for C

Hence the solution

milcah answered 2 years ago

Find a particular solution of y'' + 2y' + y = e-x [ ( 5 −2x...

Find a particular solution of y'' + 2y' + y = e-x [ ( 5 −2x )cos(x) − ( 3 + 3x )sin(x) ] yp( x ) = ? Please show your work step by step. Thank you!

x2 y" + (x2+x) y’ +(2x-1) y = 0, Find the general solution of y1 with...

x2 y" + (x2+x) y’ +(2x-1) y = 0, Find the general solution of y1 with r1 and calculate the coefficient up to c4 and also find the general expression of the recursion formula, (recursion formula for y1) Find the general solution of y2 based on theorem 4.3.1. (Hint, set d2 = 0)

Find the solution of the initial value problem: y'' + 4y' + 20y = -3sin(2x), y(0)...

Find the solution of the initial value problem: y'' + 4y' + 20y = -3sin(2x), y(0) = y'(0) = 0

Find the solution of y'' + y' = cos(2x) + 9x

Using method of variation of parameters, solve the differential equation: y''+y'=e^(2x) Find the general solution, and...

Using method of variation of parameters, solve the differential equation: y''+y'=e^(2x) Find the general solution, and particular solution using this method.

Question

Find the solution y'-e^(-2x)=0 , y(0) = 3.5

Solutions

Expert Solution

Related Solutions

Find a particular solution of y'' + 2y' + y = e-x [ ( 5 −2x...

x2 y" + (x2+x) y’ +(2x-1) y = 0, Find the general solution of y1 with...

Find the solution of the initial value problem: y'' + 4y' + 20y = -3sin(2x), y(0)...

Find the solution of y'' + y' = cos(2x) + 9x

Using method of variation of parameters, solve the differential equation: y''+y'=e^(2x) Find the general solution, and...

Find the general solution of the ODE: y'' − 6y' + 9y = (1 + x^2)e^2x...

find the general solution 2xy^3+e^x+(3x^2y^2+siny)y'=0 xy'=6y+12x^4y^(2/3) (2x+1)y'+y=(2x+1)^(3/2)

find the general solution y'''-y''-4y'+4y=5-e^x-4e^2x (UNDETERMINED COEFFICIENTS—SUPERPOSITION APPROACH)

Find the green's function then find the solution y"+4y=x y(0)=0, y'(1)=0

Find the point on the line 2x − y + 2 = 0 that is closest...