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First Order Differential Equations and Its Types: A first order differential equation is an equation that relates the derivative of an unknown function to the function itself. First order differential equation is an eqtn that involves only the 1st derivative of the function which is unknown. The general form of a first-order ordinary differential equation … Read more
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 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. 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. 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. 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. 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. 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
\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
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