Solve the IVP d'y = 4sec 2x tan 2x, y' (0) = 4, y(0) =-1 dx2

Q: Solve y'y" = 1.

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Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

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Q: Find the solution of the equation y^' = (1+y) sec ⁡x + tan⁡ x. and, Solve the equation x dy - y dx…

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Q: Solve for dy y = sec 2x² dx

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Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

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Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4) ; y(2)=4 Use 2 decimal places

A: Here we have to solve the given differential equation

Q: Find y' y = 5x² + a4

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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 differeial equation: dy/dx=3x^2y^2

A: The given differential equation is dydx=3x2y2.

Q: Solve: y" + y'tanx = (y')²

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Q: Find the solution. dy x+5y=2x?y+ dx

A: We have to solve the given differential equation.

Q: Solve  3(1 + t2)y' = 2ty(y^3 - 1)

A: The given differential equation is: 3(1+t2)y'=2ty(y3-1)...(1)

Q: Solve the differentual equation y'(sinh 3y - 2xy) =y^2

A: y′ =y2−1sinh(3y)−2xy  Exact Differential Equation An ODE M(x, y)+N(x, y)y′=0 is in exact form…

Q: y'=(2x+2y+1)/(x+y-1)  Solve the equation.?

A: Consider the given equation. y'=2x+2y+1x+y-1 Put v=x+y in the above function. dvdx=1+dydx

Q: Solve the homogenous equation (y +(x^2 + y^2)^1/2)dx−xdy = 0

A: According to the given information, it is required to solve the given homogeneous differential…

Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2

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Q: Solve xy' (2y -1) = y (1 - x)

A: We can solve the given differential equation by using the variable separable method.

Q: Solve dy/dx +ysecx=tanx

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Q: Solve, y'+ y^2cos(2x) = 0

A: 1 have solved by separation of variables methods

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.