## 22. Solve (e^x+e^{-x})dy/dx=y^2 be separable method

22. Solve (e^x+e^{-x})dy/dx=y^2 be separable method To solve the differential equation by separable method, we need to rearrange it so that all the terms are on one side and all the terms are on the other side. Then, we can integrate both sides to obtain the solution. First, we can multiply both sides by and … Read more

## 21. Solve dy/dx=x\sqrt{1-y^2} be separable method

21. Solve be separable method To solve the differential equation by separable method, we need to rearrange it so that all the terms are on one side and all the terms are on the other side. Then, we can integrate both sides to obtain the solution. First, we can divide both sides by to get … Read more

## 20. Solve dy/dx={xy+2y-x-2}/{xy-3y+x-3} by separable method.

20. Solve dy/dx={xy+2y-x-2}/{xy-3y+x-3} by separable method. To solve the differential equation     we can rearrange the terms in the numerator and denominator to get:     Now we can use the method of separation of variables by multiplying both sides by the denominator and then separating the variables as follows:         … Read more

## 19. Solve dy/dx={xy+3x-y-3}/{xy-2x+4y-8} by separable method.

19. Solve dy/dx={xy+3x-y-3}/{xy-2x+4y-8} by separable method. To solve the differential equation     we can rearrange the terms in the numerator and denominator to get:     Now we can use the method of separation of variables by multiplying both sides by the denominator and then separating the variables as follows:         … Read more

## 18. dN/dt+N=Nte^{t+2} by separable method.

18. dN/dt+N=Nte^{t+2} by separable method. To solve the differential equation by separable method, we need to separate the variables and on opposite sides of the equation and integrate both sides. Starting with the given differential equation:     We can first solve the homogeneous equation to get the complementary solution:           … Read more

## 17. dP/dt=P-P^2 by separable method.

17. dP/dt=P-P^2 by separable method. To solve the differential equation by separable method, we need to separate the variables and on opposite sides of the equation and integrate both sides. Starting with the given differential equation:     We can divide both sides by to obtain:     Now we can integrate both sides with … Read more

## 16. dQ/dt=k(Q-70) solve by separable method

16. dQ/dt=k(Q-70) solve by separable method. To solve the differential equation by separable method, we need to separate the variables and on opposite sides of the equation and integrate both sides. Starting with the given differential equation:     We can divide both sides by to obtain:     Now we can integrate both sides … Read more

## 15. \frac{dS}{dr}=kS solve by separable method

\frac{dS}{dr}=kS solve by separable method. To solve the differential equation by separable method, we need to separate the variables and on opposite sides of the equation and integrate both sides. Starting with the given differential equation:     We can divide both sides by to obtain:     Now we can integrate both sides with … Read more

## 14. x(1+y^2)^{\frac{1}{2}}dx=y(1+x^2)^{\frac{1}{2}}dy solve separable method

14. x(1+y^2)^{\frac{1}{2}}dx=y(1+x^2)^{\frac{1}{2}}dy solve separable method. To solve this differential equation by separable method, we need to separate the variables x and y on opposite sides of the equation and integrate both sides. Starting with the given differential equation: (1)   We can divide both sides by to obtain: (2)   Now we can integrate both … Read more

## Solve Separable Differential Equation (e^y + 1)^2e^(-y)dx + (e^x + 1)^3e^(-x)dy = 0

Solve Separable Differential Equation (e^y + 1)^2e^(-y)dx + (e^x + 1)^2e^(-x)dy = 0 To solve this differential equation using the separable method, we need to write it in the form of where and are functions of only and , respectively. Starting with the given equation:     We can divide both sides by to get: … Read more