1,272 Answered Questions for the topic differential equations

Differential Equations Equations

10/15/18

Partial Differentiation

The Function f(x,y)= x^2+y^2+xy+9x has one critical point. Find it and identify it as a local max local min or saddle point
Differential Equations Calculus

10/12/18

Differentiation Problem

If f and g are differentiable functions for all real values of x such that f(1) = 4, g(1) = 3, f ' (3) = -5, f ' (1) = -4, g ' (1) = -3, g ' (3) = 2, then find h ' (1) if h(x) = f(x) / g(x).
Differential Equations Calculus

10/11/18

Differential Equation second order using series (reccurrence relation)

(dy^2/d^2x)+(1-x)(dy/dx)-y=0 Initial Conditions y(0)=-1; dy/dx(0)=2I am able to solve the reccurence relation, but Im not sure how to find the values of a0 and a1 using the inital conditions. Can... more
Differential Equations

10/10/18

(D^2-3D+2)y=sin(e^x)

Differential Equations

10/09/18

Differentiate the function. h(t) = t^(1/3) − 3e^t

its a differential equation
Differential Equations Math Math. Differential Equations

08/07/18

Solve ODE with initial conditions

Solve:   dA/dt = -10A A(0) = 5   ---------------------   I tried integrating both sides: dA/-10A = dt int(dA/-10A) = int(dt) -1/10*int(A^-1 dA) = t + c   but I'm not sure what else to do
Differential Equations

07/23/18

Solve the differential equation (x^2 -1)dy/dx =-(x^2+1)y

Given y=1 when x=3. Express y as a function of x  
Differential Equations

07/20/18

Solve differential equation : x(3x+2y^2)dx+2y(1+x^2)dy=0

This is to be done with linear equations form. 
Differential Equations Calculus 2

06/30/18

Determine which function is a solution to the differential equation y ' − y = 0.

a) e^x b) square root of 2x c) x d) none of these
Differential Equations Calculus Calculus 2

06/30/18

Solve the differential equation

the product of 1/6x and dy/dx equals y times the square root of the quantity 3x squared - 1.
Differential Equations

06/07/18

differential equations

Hi, can somebody help me to solve these differential equations.   1. Da*(ex+sqrt(a))/sinx   2. D[e2xcos(3x)]   3. D*1/sqrt(1+x2)   4. m(t)= In (t/t0)2   5. du(t)/dt, when u(t)= u... more
Differential Equations Maths

05/31/18

How to solve exact differential equation?

Hello all!New to this Q&A thing so go easy on me please :) I'm finding difficultly solving this question. Could someone help me find the answer + show all working that would be great :)   dy... more
Differential Equations

05/27/18

solve [x D^2 +(1-x)D-1]y=e^x

by operational factors
Differential Equations

05/09/18

The rate of change of y with respect to t is proportional to 50-t.

 solve the differential equation

04/28/18

Differential Equation Question Please Help.

Solve the following initial-value problem using Laplace transforms.   y''- y' - 2y = 5sin(x) ; y(0) = 1 , y'(0) = -1
Differential Equations

04/24/18

how to reduce a second order differential equation to bessels equation

Dear expert, kindly suggest how to solve a second order differential equation by transforming it into Bessels' differential equation using a given substitution.   Eg solve: xy''+y'+y/4=0 using... more
Differential Equations

03/27/18

Differential Equations.

I've been trying to solve this problem for hours.   Find the solution of the differential equation (ln(y))^4  dy/dx=x^4*y which satisfies the initial condition y(1)=e^2 y=?
Differential Equations Linear Systems Vectors Calculus 3

03/25/18

Differential Equation Question

How would I write this in matrix form (x' = AX)    x' = x y' = y   Note: Is it supposed to be like this: x' = (1 v 1)(x v y) or x' = (1 + 0 v 1 + 0)(x v y)? Note: the "v" means the value after... more
Differential Equations Functions Derivatives Vectors

03/24/18

Differential Equation Problem. No clue how to do this.

Find the derivatives of each of the following vectors.   x(t) = [ t3 - 2t2 +t                 etsin(t) ]

Differential Equation Problem: Undetermined Coefficient

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 y'(0)=0Note:... more

Differential Equation Question: 2nd Order DE. Need Help.

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(2x)

03/16/18

Differential Equation: 2nd Order DFQ. Please Help

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: I assume Yp =... more

Differential Equation: Need Help

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

03/11/18

Differentials to find approximate amount of paint

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... more

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