Solve the initial value problem for a = 0 and b =1. 3y^2sqrt x^2+1 dy/dx= −x, y(a)=b

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: Find the solution x dy dx +y. y = y(x) of y² (x) ³/2 subject to y(1) = 1. =0

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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: (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 dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

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Q: FIND THE GENERAL SOLUTION ye^2x dx = (4+e^2x)dy

A: Let's find.

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 for dy/dx and d2y/dx2 of : y=(x^2e^-x)- 4e^x

A: The function is y=x2e-x-4ex. Find the value of dydx using product rule as follows.…

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 dy/dx

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

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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