dx dy Show complete solution solve: Bernoulli Differential equation 3 x = x² siny EXERCISE -(-siny + cosy + Ce-v/2)-² ANSWER: x==

Q: 5. 6. Solve fo e-t sint dt. dt. t Solve fe-t. -t sint t

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…

Q: y" z g' = Sin x COS X Solve it by using variable of parameter.

A: This is a third order non-homogeneous differential equation with constant coefficients. We will finf…

Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: . Use a cofunction relationship to show that the product (tan 1°)(tan 2°) (tan 3°)· .…. ·…

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Q: 3x dy dx solve +6 + 13y = 8e" sin2x - dx

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Q: Solve 4 sin 2x S1₁= 8 4 -1 -¹x³ + x²-x² +2 dx

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Q: dy dx if tan(xy) = xy (Product Rule)

A: Product Rule: ddxf.g=f'g+fg' Given expression tan(xy)=xy we have to find dydx

Q: dy sin z (2 sin y – cos? x),given that yG) = 0. Solve the non-Linear differential equation cos y- da

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Q: dy -y3tanx dx Solve sin2x

A: The given differential equation is: sin(2x) dydx-y=tan(x)

Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

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Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

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Q: If the given is y = sec2t and x = sin?t. Determine its dx²° - (Show your complete solution in a…

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Q: Solve the DE (D-1)y= 3 sinx+ 22 - 2x°2

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Q: sin(3x - 2) csc(4x + 3)' dM solve for dr

A: Here we can find the derivative as below with respect to x

Q: a. Evaluate S dx α x2+βx+13

A: Given- ∫xαx2+βx+13dx To find- The value of the above integral. Identity Used- ∫1a2+x2=1atan-1xa and…

Q: Solve d²y cot x dx² dy - sin² dx sin²x.y = cos x - cos³

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