dt = ry + D v

Q: Differentiate 2 Y = t² + 5÷t² - 4t² + 3 Y' = ?

A:

Q: find dy/dt.

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Q: c ex '+2) dx + 2x -3

A:

Q: dy/ dx-y/x= -y ^2 /x Is it linear ? does lt become linear with a substitution v = y^ 2? does lt…

A: given equation is  dydx-yx=-y2x

Q: дхду дхдудх dx² dy

A:

Q: 3.53 dx Compute 3+9,2

A: I=∫013313+9x2dx=19∫01331x2+13dx=19∫01331x2+132dx Since, ∫1x2+a2dx=tan-1xa

Q: If y=x^(2)+81, find the relationship between (dy)/(dt) and (dx)/(dt) Where x,y depend upon t.

A: We have to find the relationship between  and where  and  depend upon .We use Chain Rule to answer…

Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A: w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5

Q: Integrate by change of variable, ∫∫R(x + y)e((x^2)-(y^2))dA, where R is the rectangle enclosed by…

A: We need to evaluate integral.

Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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Q: folve dt? at by diagonalization method

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Q: Being r the position vector radius, solve d + 2 dr + T=0 dt?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.