e y1(t) – 6yl(t) + 8y(t) = e2t + sin (t) ; y(0) = 0 ; yl(0) = 1 %3D

Q: y′=y,y(0)=1

A: Use dy/dx in place of y'Then separate the variables.

Q: Suppose V=- x = {^₁ A = [90] ₂,₂ = [a b]; C d matrixes 2 by 2 and consider S₁ = {A eV | det(A) = A…

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Q: Convert y " (f) + (1 – t) y' (t) + e¯' y (t) = t – 5t; y (0) =- 3; y' (0) = 4 into an in tegral…

A:

Q: 2 2 dydx Әхду

A: Given: h(x,y)=4xey+3y+7

Q: h(x) = (V-7) sin(z), W(x) = %3D %3D e.

A: We write the h(x) using exponents.

Q: g(x) = cos(x + T) + 2 %3D

A: The given expression is gx=cosx+π+2.

Q: 3y(x²-1)dx + (x³ + 8y - 3x)dy = 0; when x = 0, y = 1.

A:

Q: (x + 2y – 4)dx – (2x + y – 5)dy = 0 What is the particular solution when y(3)=1?

A: Differential equation  can be solved by using By variable separable method  By homogenous…

Q: -3/2 -¹² (2²³ + 2x) da with y(0) = 0, y(3/2) = 1. (c) J[y] = =

A:

Q: Find the differential dy of the function y=-2²-3x - 2. Select one: O a. (-x-3)dx. O b. (-2x - 3)dx O…

A: dxndx=nxn-1d(constant)dx=0

Q: y′ = −y(5 − y)

A: Recall the following fact.

Q: [  (1+ xsiny)dx - x2cosydy = 0  ] How can I find the solution "y" of this equation?

A: We shall use basic knowledge of first order ordinary differential equations to solve this question.…

Q: dy - 6/7 = 3x dx and y(- 1) = - 3. Find the function y(x) satisfying The function y(x) satisfying dy…

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Q: y′=(3t2+4t+2)/2(y−1),y(0)=0

A:

Q: (3x² – 2xy+ y²) dx + (2xy – x² + sin y) dy = 0, y(12) = 0 - |

A: We have to find the required solution of…

Q: 2y" + 29y = 0, %3D y(0) = 7, y' (0) = 7. y(t) =

A:

Q: Find dy/dx for e 2x + y 2 = sec(2x) in terms of x and y using implicit differentiation

A:

Q: (x2 – 1)y' + 2y = (x + 1)? |

A: We have to solve the differential equation. (x^2-1)y'+2y=(x+1)^2 (x-1)(x+1)y'+2y=(x+1)^2…

Q: f(t) = 2t2 - 5 sin(3t) %3D L{f(t)}

A:

Q: 3. Integrate the function. (a) / Vx–1dx = %3D (b) /e2+ 2x+1 dx = (c) | (sin xcosx+ sinx cos x) dx =…

A: Hello there! You seem to have uploaded a question with multiple subparts. As per our guidelines, we…

Q: find dy/dx if x=(t2-2t+1)e3t and y=(t2+4t+4)e3t

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Q: (b) Solve the IVP (3xy – y²)dx = (xy – x²)dy y(-2) = 3 - %3D %3D

A:

Q: 3. Solve (2xy – y² + y)dx + (3x² – 4xy + 3x)dy = 0. (Non Exact) 4. Solve the following FOLDE: (2у +…

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Q: find dy/dx of the following:

A: Please refer to the image below

Q: (x + 2y – 1)dx + (3x + 6y)dy = 0 What is the particular solution when y(-1)=0?

A: The solution is given as

Q: Find the differential dy of the function y = 4x²-x+ 3 Select one: O a. (8x-1)dx O b. (x²-x² + 3x) dx…

A: Solve for the differentiation

Q: y′=2y−1,y(0)=1

A: Separate the variables , then integrate both sides

Q: Use the convolution to write a formula for problem: y" – 3y' + 2y = f(t), y(0) = 1, y'(0) = 0; -

A:

Q: Solve the D.E (X+1) =x(y'い) dメ

A:

Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y

Q: Find dx dy by implicit differentiation. dx y cos(x) = 3x² + 4y² 11

A: consider the given function.