Find the solution. dy +y= dx 1+e* A y = ce¯*+e¯*In(1+e*) B В y = ce¯ – e ¯*In(1-e*) се © y = ce*+e*In (1+e*) C D = c+ 2ye¬In (1+e*)

Q: dy/dx if y=tan((1-2x)/(1+x)) dy/dx if y=x^4 ln(3x-1)

A: 1)    y=tan1-2x1+x2)    y=x4ln(3x-1) Hint:  Chain rule and then uv and u/v rule of differentiation

Q: %3D

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Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

Q: Find dy/dt if y=ln(t^2+1)/(squareroot of (4-t)

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Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: Solve the given equation by separation of variables. dN/dt + N = Nte^t+4

A: The objective of the question is to solve the given differential equation by using the method of…

Q: 2y´´-5y´+3y=0   y1=e^x

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Q: Find y' cos(xy) - y^4 = 5 - 3x

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Q: d²y dx² - y = = x - x - 1

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Q: dy/dx of y=cos^-1 (e^-3x)

A: Given y=cos-1e-3x

Q: find dy/dx of x^5y-xy^5=1

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Q: Solve the first order o.d.e dy/dx=(1+y^2)e^x

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Q: Suppose dy/dx= (3x+1) √(3x^2+2x) and y(0)=1. what is y(5)?

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Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

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Q: Identify the rate of change (dy)/(dx) of y=x^(2)-2x when x=1

A: