d’y dy Solve -+3y=e dx dx

Q: =D{sinh(2r) – ţa dy/dx agi

A: We know that sinhx' = coshxx' = 1 and (f(g(x))' = f'(g(x))g'(x)

Q: Find the general solution of dy dy dx =sin 2x dx

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Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: Solve dy/ dx = x^2 + x for y(1) = 3.

A: Given that dy/dx = x2 + x, where y(1) = 3.

Q: Solve y (e* + Inx) dx + (3 – y) dy = 0

A: The given ordinary differential equation can be written as:

Q: ху Solve *y - dy x+1 dx

A: Let Mdx+Ndy=0 Then the above equation is exact if ∂M∂y=∂N∂x. If the above equation is not exact,…

Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: Solve: sin(y) dy/dx = e

A: given question is solved using variable separable method of differential equation    final answer is…

Q: Solve the equation dy 2 dx with the initial condition y (1) = 1. 2/3

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Q: Solve d'y dy 5 + 6y = 0 dx dx 2

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Q: Solve th D.E using Exact dx +(x² +3y* )dy

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Q: у dx — х? dy %3D 0

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Q: dy/dx=x squre root of y for y doesnt equal 0 Solve the differential equation

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Q: solve DE (3xy+y2)dx +(x2+xy)dy=0

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Q: у (буз — х — 1) dx + 2x dy — 0 || -

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Q: Solve dy/dx= y^2−1/ x

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Q: Find dy/dx at the given point without first solving for y. x2 + 4xy + 23 = 0 at (1, −6)

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Q: Find the differential equation of dy/dx = x+y/x-y

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Q: Find dy/dx if y = e-(1/10)e-x/2.

A: Given: y=e-110e-x2. To find dydx. Solution: Chain rule of differentiation states that:…

Q: Obtain the general solution to the equation. dy 1. y + 2x + 1 dx

A: Given that: dydx=yx+2x+1

Q: Solve dy = ax + by + c_ dx

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Q: (y-sinx) 3. Solve the D.E. dy + dx = 0.

A: We can solve the given differential using integrating factor.

Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

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Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: Solve d'y 6 dy +13y38e*sin2x -6- dx? dx

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Q: Using dx/dy solve sin(x+y)-cos(x+y)=1

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Q: Solve dx+ dy 0

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Q: 0, y → 2 Solve xy?dx + e*dy = 0; when x

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Q: Use Bernoulli's Equation dy/dx+ycotx=1

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Q: Find dy/dx of e*-e-x y = e*+e-*

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Q: 1 dz dy dx. e 0,

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Q: 10) y7 exbx

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Q: A. Solve dy (1+x+) dx

A: We have to find the solution

Q: Solve the equation xcosy dy+(x+2)siny dx=0.

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Q: Solve the Bernoulli's equation dy/dx −1/2(1+ 1/ x)y = (3 /x)y^3

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Q: dy 1. Solve 2y - e dx

A: Given differential equation is dydx=2y-e3x. To find the solution. Solution: Given differential…

Q: Find the general solution of the equation: G + 6x) dx + (In x – 2) dy = 0 (x > 0) -

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Q: dy = ky| 1- dx L)

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Q: dy dy = xy + 3x – 3x dx dx

A: The given differential equation is: dydx-x2dydx=xy+3x-3x3Therefore:dydx=xy+3x1-x21-x2

Q: Find dy/dx at the given point without first solving for y. x2 + 2xy + 17 = 0 at (1, -9) dx

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Q: S" cos de 4. 2 dx .2 -1 1+x² 5.

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Q: Find dy dx x +3 Sint de X-x

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Q: LS e*y dx dy dz 4.

A: Solution is given below:

Q: Solve dx = y dz dy = -x dz for X=0-5 X (0) = 0 Y(0) = 1

A: Given that dxdt=y, x(0)=0dydt=-x, y0=1 Differentiating first equation, we get…

Q: - solve; dy A: dx e* * y3 x+1

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Q: Solve the differential equation 2 dy dy 1+ dx dx2 assuming x > 0 and > 0. dy dx

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Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: ind the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: The solution of a differential equation with no unknown constants is a particular solution of that…

Q: -2ex + 2e dx (ex + e-x)2 I e* + e¬x,

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Q: Find (dy)/(dx) if ey = ex + sin(x2x).

A: Given ey=ex+sinx2x