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SOLVE DE

(cosx+Iny) + dy/dx= -( x/y +e^y)dy/dx
Solve differential equation
-xdy/dx+6y=3x(y^4)^1/3
Solve differential equation
& DY/DX= 6 e^2x-y
Determine what type of deferential equation is the following and solve them .

1- Xdy/dx+6 y = 3x(y)^4/3 ?
2- Cosx +In y + dy/dx = - ( x/y + e^y)dy/dx
3- 2dy/dx+6y/x = 2tan(x)
solve this DE :
1- X(X+Y)DY/DX=Y(X-Y)
Is the following differential equation exact or not and solve it if its exact ?


( x^2 + cosy ) + ( y^2+x+sinx) dy/dx = x
You have 100 seats to fill and you need to fill them all for 100 pounds however children cost 10p adults cost 10 pounds and pensioners cost 50p now do you do it ?
dy/dt=-y+5 y(0) =a
dear expert what are spatial variables .explain please.
dy/dx - ay = Q, where a is a constant, giving your snswer in terms of of a, when

a) Q = ke^lamda(x)
b) Q = ke^ax
c) Q = (kx^n)(e^ax)

12) use the substitution z = y^-1 to transform the differntial equation x dy/dx +y = (y^2)ln(x), into a linear equation. hense obtain the general solution of the original equation.

13) use the substitution z = y^2 to transform the differential equation 2cosx dy/dx - ysinx +y^-1 = 0, into a linear equation. hense obtain the general solution of the original equation.

14) us the substitution u = x + y to transform the differential equation dy/dx = (x +y +1)(x + y - 1) into a differential equation in u and x. by first solving this new equation. hense obtain the general solution of the original equation

15) use the substitution u = y - x - 2 to transform the differential equation dy/dx = (y - x - 2)^2 into a differntial equation in u and x. By first solving this new equation, find the general solution of the original equation, giving y in therms of x.
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