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Differential Equations Calculus Approximation

03/11/18

Use differentials to approximate the quantity

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

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Differential Equations Calculus Homework Due Tomorrow

03/11/18

Differential of f

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) to find the approximate change in y if x... more

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Differential Equations Verification

03/11/18

Differential Equation: Need Verification Please

Determine the specific solution of the following initial-value problem. y''+ 4y = 0, y(pi)=0 and y'(pi)=1My answer is: y=(0)cos(2x) + C2sin(2x) or simply y=C2sin(2x) Note: the "(0)" is my C1. I... more

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Differential Equations

03/06/18

How to find the general solution of xy'-4y=e^x using the associated homogeneous equation ?

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(A'e(x^4)+4x3y)-4A(x)e(x^4)=e^x

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Differential Equations

03/05/18

Differential Equations.

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... more

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Differential Equations

03/04/18

Differential Equations.

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'' - 16 y =... more

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Differential Equations

03/04/18

Differential Equations.

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

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Differential Equations

03/04/18

It is easy to check that for any value of c, the function

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 condition... more

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Differential Equations

03/04/18

Solve y''=sin(x) if y(0)=0 y'(0)=3

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

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Differential Equations

03/04/18

setting up an integral

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 previous part to find... more

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Differential Equations Calculus Algebra

02/19/18

How to simplify this so that the c's cancel out?

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 the algebra to... more

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Differential Equations

02/19/18

Find the solution for the following exact differential equations.

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

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Differential Equations

02/17/18

Differential Equation Question

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

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Differential Equations Calculus

02/15/18

How to find a first order differential equation for the family of curves?

y=x^(1/2)+cx I can't seem to get the right answer :(

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Differential Equations

02/07/18

Is there some rule that x + e^c = cx ? (c is the constant of integration)

Just wondering how x^-3 + e^c = c/x^2?

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Differential Equations

02/06/18

Is in the integral of 1/x ln(x)+c or ln(x)+ln(c)?

I have seen it written the first way in some problems and the second in others. All have had correct answers. Can someone please explain why this is? Thank!

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Differential Equations Calculus

02/05/18

How to solve the differential equation with substitution?

y'=(x^2-y^2)xy, with y(1)=2

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Differential Equations

12/08/17

How do I solve the differential equation x-4y(x)y'(x)(x^2+1)^(1/2)=0 with the initial condition: y(0)=10.

When I solve it with separation I get to a point where y^2=5/2(x^2+1)^(1/2)+C but then I get two solutions and then my equation gets messy when trying to solve for the constant C with the initial... more

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Differential Equations Numerical Analysis Taylor Series

11/07/17

Numerical solver for y’=3xy^3

For this equation is the Taylor Series the best approach to wstimate numerically? I am also using Euler’s to compare. Trying to find y(1) given y(x) is a solution to the equation and knowing... more

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Differential Equations

11/04/17

Need help solving the differential equation y’-y=x

Can you help me understand the steps in solving this equation? Will you always use e^() in these types of equations?

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Differential Equations U Substitution

11/03/17

Find u substitute in y’-(y/x)=y^2

I am having trouble identifying where to start to find the U subsitute.

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Differential Equations Reduction Of Order Nonhomogeneous Equation

11/01/17

Differential Equations: Nonhomogeneous Equation Problem

The nonhomogeneous equation t^2y′′−2y=29t^2−1, t>0, has homogeneous solutions y1(t)=t^2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms... more

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Differential Equations Math Help Initial Values

10/26/17

Differential Equations - Fundamental Set of Solutions

Find the fundamental set of solutions for the given differential equation L[y]=y′′−9y′+20y=0 and initial point t0=0 that also specifies y1(t0)=1, y′1(t0)=0, y2(t0)=0 and y′2(t0)=1.

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Differential Equations Math Differential Equations. Math. Differential Equations

10/12/17

Separable Differential Equations Problem

Find the solution of the given initial value problem in explicit form.sin(2x)dx+cos(4y)dy=0, y(π/2)=π/4 I solve to get the general equation:(1/4)sin(4y)=(1/2)cos(2x)+C then I plug in the initial... more

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Differential Equations Differential Equations. Math. Differential Equations

10/11/17

Ordinary Differential Equations Problem

Find the solution of the given initial value problem in explicit form.sin(2x)dx+cos(4y)dy=0, y(π/2)=π/4 I solve to get the general equation: y=[arcsin(2cos(2x)+C)]/4 but when I plug in the... more

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Use differentials to approximate the quantity

Differential of f

Differential Equation: Need Verification Please

How to find the general solution of xy'-4y=e^x using the associated homogeneous equation ?

Differential Equations.

Differential Equations.

Differential Equations.

It is easy to check that for any value of c, the function

Solve y''=sin(x) if y(0)=0 y'(0)=3

setting up an integral

How to simplify this so that the c's cancel out?

Find the solution for the following exact differential equations.

Differential Equation Question

How to find a first order differential equation for the family of curves?

Is there some rule that x + e^c = cx ? (c is the constant of integration)

Is in the integral of 1/x ln(x)+c or ln(x)+ln(c)?

How to solve the differential equation with substitution?

How do I solve the differential equation x-4y(x)*y'(x)*(x^2+1)^(1/2)=0 with the initial condition: y(0)=10.

Numerical solver for y’=3xy^3

Need help solving the differential equation y’-y=x

Find u substitute in y’-(y/x)=y^2

Differential Equations: Nonhomogeneous Equation Problem

Differential Equations - Fundamental Set of Solutions

Separable Differential Equations Problem

Ordinary Differential Equations Problem

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How do I solve the differential equation x-4y(x)y'(x)(x^2+1)^(1/2)=0 with the initial condition: y(0)=10.