Use Euler’s explicit method to solve the ODE dy/dx= -1.4 + 8e^ -0.3x from x= 0 to x= 2.4 with the initial condition y= 4 at x=0. Use h= 0.4 .

Q: du/dt = (1/ln(t+u))  -1

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Q: If h(2) = 5 and h'(2) = -3, find d(h(x) dx X = 2.

A: Gievn   h(2)=5  h'(2)=-3 To evaluate,   ddxh(x)xx=2

Q: (1-3/x)dx =

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Q: The graph of the implicit equation x2+3xv+4v² = 1 is shown here with lines indicating where the…

A: In this question, we find the point of intersection with the curve and horizontal tangent to the…

Q: For the following systems of differential equations, (i) Find the general solution (ii) Plot the…

A: given X'=1011X (a) to calculate the general solution

Q: In this paper, we are concerned with the asymptotic properties of solutions of the third order…

A: Given: limn→∞bn∆znα=0 To find: Condition to be explained.

Q: Solve the ODE  y'+(1/x)y-ex=0, when x>0

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Q: (7) coshx + sinh x = e* %3D

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Q: Let f(x) = x + 12 f-'(x) = %3D 1.

A: Let's say y = f(x) A function g is said to be inverse of a function f, if g(y) = f(x) Procedure to…

Q: 4. [csch(x)] = -csch(x) coth (x) dx

A: we know thatdifferentiation of cosh(x) is sinh(x) and vice- versa

Q: #2. Researchers have descried the maximum growth rate of a phytoplankton as a function of the cell…

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Q: |(x'-x)dx=-

A: First I have split the integral in two parts, then by rule of integration find the solution.

Q: х3—125 dy 5. у %3 х2+5х+25' dx х-1 + x+1 dy 6. у %3 б. dx

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Q: Find y' for y= [1 + *(¹ + ³) ³. 3 3 X y' =

A: We need to find second derivative.

Q: dM/dt=4M, M=25000 when t=2   dT/dx=-3.2T-1328, T=-212 when x=2

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Q: Use Euler's method to solve the following ODES wwwwwwww dy dx = -2y + 4e¯*, with h = 0.18 from x = 0…

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Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: solve dx dt. (1 = 72 X -2 7 with X (0) = 3 L2

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Q: solve y’ – (y/x) = xy2

A: We have to solve differential equations

Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: X₁+1 = x; +h Y₁+1=Y₁+ f(x, y₁) h

A: The given ordinary differential equation(ODE) is:The aim of the problem is to solve the given ODE…

Q: Question 3. Let A and B be nxn matrices. Show that (a) (A - A¹)³ is skew-symmetric. (b) (AB+B¹A¹)4…

A: Given that A and B be n*n matrices.

Q: If f'(1) = 3e2 and f(0) = 2 then find f(1). %3D %3D

A: Given:     To determine: f(1)

Q: dy Solve dx + yo'(x)=0(x) · p' (x), where o (x) is a given function

A: Please check step 2 for the solution.!

Q: solve the following ODE y + xy = 6xfy

A: We have y'+xy=6xy This can be written as: 1ydydx+xy=6x               ...(1) Let 1y=t So, we get:…

Q: y'-2 xy=2 y (0)=1

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Q: dy/dx = 6x^5sqrt(y-1) equals to y = [(1/2)(x^6+c)]^2 + 1? Diff eqn.

A: ∫tndt=tn+1n+1+cgiven  dydx=6x5y-1          dyy-1=6x5dxintegrate both sides