find h(6)h(6)?

Q: researcher in physiology has decided that a good mathematical model for the number of impulses fired…

A:

Q: Find the general solution by variation of parameters y" – 10y' + 25y = x3 |

A: Given: y''-10y'+25y=e5xx3

Q: find the general solution. 6y'' - y' - y = 0

A: Given differential equation ,6y''-y'-y=0

Q: (x3-2x2+1)dx (x2-2x+5)2

A: Let I=∫x3-2x2+1x2-2x+52dxx3-2x2+1x2-2x+52=a1x+a0x2-2x+5+a3x+a2x2-2x+52Multiply equation by the…

Q: x²dydx 2. Solve: S x²+y²

A:

Q: y'-5y=x'e* – xe³* - хе

A:

Q: Solve x2(y-z) p +y2(z-x)=z2(x-y)

A: value of P given below..

Q: Find general solution of " – y – 2y = e2t

A:

Q: d2y/ dx2 + y = xsinx and show that the solution is  y=c1sinx +c2cos x - x2cos x/4+xsinx/4

A:

Q: [1] Solve for the GS of (D4-5D³+9D²-7D+2)y=0

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: Solve y(4) – 3y" – 4y = x² + e2x .

A:

Q: Solve the initial value problem: f(x)-x7+12x+17 and f(0)=3.

A: We will rearrange and then integrate both sides to find the solution of the given initial value…

Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: B1(b): Solve the initial value problem : f'(x) = x10 + 12x + 12 and f(0) = 7.

A:

Q: Using Separation of Variable, solve xy3dx + (y+1)e-xdy

A: On solving this we will get

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 14 and f(0) = 2.

A:

Q: Find the general solution to x”-3x’+2x = e^t

A: First we find complementary function then particular integral and then general solution.

Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

A:

Q: Solve the nonlinear equation f(x) = e*-3x using: %3D

A: Muller method

Q: Determine the general solution: y' = x - 2y. *

A:

Q: B1 (b): Solve the initial value problem : f'(x) = x5 + 12x + 12 and f(0) = 5. ,15

A: We apply differential equation method to solve initial value problem

Q: Find the solution. 6y-2y = xy (x-1)+e B -1)-a

A: Solution

Q: Find d^3/dx3(lnx/x2)

A: Given: d3dx3ln xx2  ……1

Q: Solve equation for X E3 ax. 3x %3D /3 +20

A: We assume "z" then substitute in the given equation and solve for z by factoring

Q: y" – 6y' + 9y = :

A:

Q: .1 Solve the equation x'y"-3xy'+3y 2x'e by method of variation of parameters.

A:

Q: Solve for t. 4 - 1 - 1 =D4 - 3 -3

A:

Q: Solve using Methods of Undetermined Coefficient (D² – 1)y = x – 1

A: To solve the following problem using method of undetermined coefficients

Q: y' = - 2xy

A: The given differential equation is y'=-2xy⇒dydx=-2xy The given differential equation can be solved…

Q: Solve Hhe difforenhal aquahon d3y dx3 2X (I+x)e -7 -

A:

Q: Find the particular solution determined by the initial condition. f'(x) = rx) = 2x2/5 - 3x, f(1) =…

A:

Q: 2. Find the stability of the difference equation xn = Xn-1+¤n-2.

A: By theorem,            Let the 2nd order homogeneous differential equation is,…

Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

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Q: Find the equation for the general solution y²= cx

A:

Q: -x x²dydx Solve: S. S2 x²+y² 1

A: Solve: ∫01∫x2xx2x2+y2dy dx

Q: Solve: (D - 2)²y 8(e2x + sin2x + x2

A:

Q: Is t3 t2 – 2dt , can be solved by 3 methods? -

A: Yes, the above problem can be solved by three different methods. The three methods are as follow:…

Q: Solve dʻy - 2x- xe 2x– xe dx² by using the undetermined coefficient method.

A:

Q: c. Solve x2 + 4x-y+3 = 0 and x-y+7 = 0 using any of the two methods.

A:

Q: 02. Solve the DE. y" = x2sinx 2. by using variation of parameters method.

A: Given: y''' = x2sinx.

Q: y" - 4y' =t+ 3cost + e -2t

A:

Q: a²(xdy-ydx) x²+y2 5. Solve xdx + ydy = using exact D.E method.

A:

Q: Find the general solution of: x² = y² QY_ dr

A: We have to find general solution of given differential equation.

Q: Solve for x given a). e2-3x = 5 b). In(5x – 1) = –-1 c). e2x – 5e* + 6 = 0

A:

Q: Solve y"-2y't3y =eľ tang

A: Use the formulas of solving second order differential equations. A solution is a sum of…

Q: Find the general solution of (2x –y) = 2y – x

A:

Q: find the solution of y''-2y'=x - e^3x

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.