dy/dx =( xsquare + y + 1 ) whole square

dy/dx =( xsquare + y + 1 ) whole square

Determine the specific solution of the following initial-value problems. Use the method of undetermined coefficients to find the particular solution. y'' - 2y' + 2y = x3 - 5, y(0)=6 and...

Using the method of undetermined coefficients, determine the general solution of the following second-order, linear, non-homogenous equations. y'' - 2y' + 2y = sin(x) + cos...

Using the method of undetermined coefficients, determine the general solution of the following second-order, linear, non-homogenous equation. y''- 4y' + 4y = 2e2x+3 note:...

Determine the specific solution of the following initial-value problems. y''-6y'+9y=0, y(-2)=1 and y'(-2)=0

The supply equation for a certain brand of radio is given as follows where x is the quantity supplied and p is the unit price in dollars. p = s(x) = 0.3√x + 15 Use differentials to approximate...

A coat of paint of thickness 0.06 cm is to be applied uniformly to the faces of a cube of edge 32 cm. Use differentials to find the approximate amount of paint required for the job, correct to the...

Use differentials to approximate the quantity a. √101 b. 4√81.6

Let f be the function defined as follows. y = f(x) = √(9x+5) (a) Find the differential of f. Answer: dy = (9/2√(9x+5))dx (b) Use your result from part (a)...

Determine the specific solution of the following initial-value problem. y''+ 4y = 0, y(pi)=0 and y'(pi)=1 My answer is: y=(0)cos(2x) + C2sin(2x) or simply y=C2sin(2x) Note:...

so far I've done: xy'-4y=ex xyH-4yH=0 ln|yH|=4lnx+c x4 |yH|=Ae(x^4) y(x)=A(x)e(x^4) y'=A'e(x^4)+4x3A(x)e(x^4)=A'e(x^4)+4x3y x...

Suppose x=c_1e^-t+c_2e^(5t) Verify that x=c_1e^-t+c_2e^(5t) is a solution to x''-4x'-5x=0 by substituting it into the differential equation. 1)...

Given that y(t)=c1e+4t+c2e^-4t is a solution to the differential equation y''-16y=0 where c_1 and c_2 are arbitrary constants, find a function y(t) that satisfies the conditions y''...

let y''+6y'-16y=0 a) Try a solution of the form y=e^(rx), for some unknown constant r, by substituting it into the differential equation. ...................=0 b)Simplify...

It is easy to check that for any value of c, the function y=ce^(-2x)+e^(-x) is solution of equation y'+2y=e^-x Find the value of c for which the solution satisfies the initial...

Solve y''=sin(x) if y(0)=0 y'(0)=3 y(x)=? I found y(x) = 1/3x-sin(x) but it says its wrong

set up an integral for solving dy/dx=1/(x^2-16) when y(0)=0 y(x)= ...... + (integral for ..... to ......) ......... Also Evaluate your answer to the...

dy/dx= (2cx-x^-1)/((y^-1)-2cy) the c's are constants of integration. I am trying to find a differential equation for the family of curves: ln(xy)=c(x^2+y^2) and can't figure out...

3y3e3xy - 1 + (2ye3xy + 3xy2e3xy)y' = 0

Find the solution for the following exact differential equations. 2xy^2 + 4 = 2(3 - x^2y)y' ; y(-1) = 8