(c) f(t) = e e-2t cost MUCS Yp(t) (d) f(t) = (3t² +t) cos t MUCS Yp(t) :

Q: 5. The estimated cost per sq.m. of fully furnished house construction in a given site is governed by…

A: For a differential equation of the form: y'=fx, y, Euler's method uses the formula:…

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A:

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A:

Q: dz b- Solve by chain rule to determine dx z = x²y* -2y , y = sin(x²)

A:

Q: The approximate value of y(3) for the initial value problem for ' = cost + sint, y (0)=0.5 with h=…

A: Correct option is (b) 2.631 Detailed solution : Given y′=cos(t)+sin(t),y(0)=0.5,h=0.5,y(3)=?Forth…

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A: We have to choose the correct answer from the given option according to the given condition

Q: Q3) Use Euler's method to estimate y(0.02) ey-x 1+ e2y y(0) = 1 ( h=0.01) .What is the error in the…

A: Given ; h = 0.01 y(0) = 1

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A: Given:

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A:

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A:

Q: Solve the initial-value problem. dy for x21 with y(4) = 4 %3D dx The solution to the initial-value…

A: We have to solve the initial-value problem: dydx=5x Solving by variable separable method,…

Q: dy =x+3x + e2x dx 1. Solve the initial value problem when x-0. y-2.

A: The given differential equation is solved by variable separable method.

Q: 4 solve the D.E " -X² Joly =0 3x2 ydx + LY

A:

Q: Finding a General Solution Using Separation of Variables. dy/dx= (x-1)/y3

A:

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A:

Q: a) A capacitor (C) which is connected with a resistor (R) is being charged by supplying the constant…

A: Given : E = ∫0∞P(t) dt  ,   P(t) = 5Re-tRC2×R

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A:

Q: 3). S eax cos(mx) dx

A:

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A:

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A:

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A:

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Q: Example 10.10. Using modified Euler's method, find an approximate value of y when x = 0.3, given…

A: We can solve this using given information

Q: w = In(x²+y² +z²) x = cost y = sint z = 4E

A: w=lnx2+y2+z2, where x=cost, y=sint, and z=4t. Find dwdt.

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A: y''-2y'=ex sin x Auxiliary Equation: m2-2m=0⇒m1=0, m2=2 Complementary function  :  y=c1+c2e2xthis…

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A:

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A:

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A:

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A: We have to solve the given differential equation by variation of parame

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A:

Q: b) Use the initial condition y(0)= 2.14 to find the particular solution of -2y+x² + 2x* = 0 %3D dx

A:

Q: (d) The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash drive is given…

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Q: 2. Find the particular solution of (3sin y- 5x) dx+2x cot ydy = 0 ;y(-1)=-

A:

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Q: Use Euler's method to estimate y(0.02) ey-x y' = 1+e3y „y(0) = 4 0.01) What is the error in the…

A:

Q: Find Solution of the Attached ?

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A:

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A:

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A: The interval of definition is, [ - 3/2, 1/2 ] The detailed solution is as follows below:

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A:

Q: 3. Find the general solution of y"-3y'+2y = e* cos x [using variation of parameters]

A:

Q: A. By simple integration rules 1. fki+3x-2 + 5x+)dx 2. s**-5x²+4x dx (x-1) 3. S*- x3 -343 dx X-7 4.…

A:

Q: #@3 g (x; y) = 7x3 - 49IXY + 7y3 Find and elassify all the extreema of the fine tion

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Q: solve the Initial Value Problem using Separation of Variables. y' = cos2x, y(0) = π/4

A:

Q: Use Euler's method to estimate y(0.02) ey-x y' 1+ e2y »y(0) = 1 (h=0.01) .What is the error in the…

A: The solution is given as

Q: Solve the initial-value problem for y as a function of x. (x^2+36)dy/dx=1,y(6)=0

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.